2D Coordinate - find the length of perpendicular foot on tilted system
$begingroup$
I am given values of $x_1, y_1, x_2, y_2$, $theta_{1}$, and $theta_{2}$.
I want to find out the value of the Unknown height.
The Unknown height is length of the perpendicular feet between Point 2 and the line extending towards the upper right side of the page.
How can I find the length of the perpendicular feet?
geometry trigonometry
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
$endgroup$
add a comment |
$begingroup$
I am given values of $x_1, y_1, x_2, y_2$, $theta_{1}$, and $theta_{2}$.
I want to find out the value of the Unknown height.
The Unknown height is length of the perpendicular feet between Point 2 and the line extending towards the upper right side of the page.
How can I find the length of the perpendicular feet?
geometry trigonometry
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
$endgroup$
add a comment |
$begingroup$
I am given values of $x_1, y_1, x_2, y_2$, $theta_{1}$, and $theta_{2}$.
I want to find out the value of the Unknown height.
The Unknown height is length of the perpendicular feet between Point 2 and the line extending towards the upper right side of the page.
How can I find the length of the perpendicular feet?
geometry trigonometry
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
$endgroup$
I am given values of $x_1, y_1, x_2, y_2$, $theta_{1}$, and $theta_{2}$.
I want to find out the value of the Unknown height.
The Unknown height is length of the perpendicular feet between Point 2 and the line extending towards the upper right side of the page.
How can I find the length of the perpendicular feet?
geometry trigonometry
geometry trigonometry
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
asked Nov 26 '18 at 8:06
Eric KimEric Kim
1073
1073
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
Calculate the distance between points $P_1$ and $P_2$:
$$
d_{12} = [(x_2 - x_1)^2 + (y_2 - y_1)^2]^{1/2}
$$
and note that
$$
sin theta_1 = frac{mbox{unknown height}}{d_{12}}
$$
So that
$$
mbox{unknown height} = d_{12} sin theta_1
$$
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3014019%2f2d-coordinate-find-the-length-of-perpendicular-foot-on-tilted-system%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
Calculate the distance between points $P_1$ and $P_2$:
$$
d_{12} = [(x_2 - x_1)^2 + (y_2 - y_1)^2]^{1/2}
$$
and note that
$$
sin theta_1 = frac{mbox{unknown height}}{d_{12}}
$$
So that
$$
mbox{unknown height} = d_{12} sin theta_1
$$
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
$endgroup$
add a comment |
$begingroup$
Calculate the distance between points $P_1$ and $P_2$:
$$
d_{12} = [(x_2 - x_1)^2 + (y_2 - y_1)^2]^{1/2}
$$
and note that
$$
sin theta_1 = frac{mbox{unknown height}}{d_{12}}
$$
So that
$$
mbox{unknown height} = d_{12} sin theta_1
$$
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
$endgroup$
add a comment |
$begingroup$
Calculate the distance between points $P_1$ and $P_2$:
$$
d_{12} = [(x_2 - x_1)^2 + (y_2 - y_1)^2]^{1/2}
$$
and note that
$$
sin theta_1 = frac{mbox{unknown height}}{d_{12}}
$$
So that
$$
mbox{unknown height} = d_{12} sin theta_1
$$
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
$endgroup$
Calculate the distance between points $P_1$ and $P_2$:
$$
d_{12} = [(x_2 - x_1)^2 + (y_2 - y_1)^2]^{1/2}
$$
and note that
$$
sin theta_1 = frac{mbox{unknown height}}{d_{12}}
$$
So that
$$
mbox{unknown height} = d_{12} sin theta_1
$$
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
answered Nov 26 '18 at 8:33
caveraccaverac
14.4k31130
14.4k31130
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3014019%2f2d-coordinate-find-the-length-of-perpendicular-foot-on-tilted-system%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
