2D Coordinate - find the length of perpendicular foot on tilted system
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 at 8:06
Eric Kim
1073
add a comment |
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 at 8:06
Eric Kim
1073
add a comment |
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 at 8:06
Eric Kim
1073
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 at 8:06
Eric Kim
1073
asked Nov 26 at 8:06
Eric Kim
1073
asked Nov 26 at 8:06
Eric Kim
1073
asked Nov 26 at 8:06
Eric Kim
1073
asked Nov 26 at 8:06
Eric Kim
1073
1073
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
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 at 8:33
caverac
13.1k21029
add a comment |
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1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
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 at 8:33
caverac
13.1k21029
add a comment |
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 at 8:33
caverac
13.1k21029
add a comment |
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 at 8:33
caverac
13.1k21029
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 at 8:33
caverac
13.1k21029
answered Nov 26 at 8:33
caverac
13.1k21029
answered Nov 26 at 8:33
caverac
13.1k21029
answered Nov 26 at 8:33
caverac
13.1k21029
13.1k21029
add a comment |
add a comment |
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