Given:
Height of access ramp = 6 foot
Ramp ends at a point 40 feet away along the ground.
To find:
The angle of depression in nearest tenth of a degree.
Solution:
Using the given information, draw a figure as shown below.
In a right angle triangle,
![\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%20%3D%20%5Cdfrac%7B%5Ctext%7BPerpendicular%7D%7D%7B%5Ctext%7BBase%7D%7D)
In triangle ABC,
![\tan \theta=\dfrac{AB}{BC}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cdfrac%7BAB%7D%7BBC%7D)
![\tan \theta=\dfrac{6}{40}](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D%5Cdfrac%7B6%7D%7B40%7D)
![\tan \theta=0.15](https://tex.z-dn.net/?f=%5Ctan%20%5Ctheta%3D0.15)
Taking tan inverse on both sides.
![\theta=\tan^{-1}(0.15)](https://tex.z-dn.net/?f=%5Ctheta%3D%5Ctan%5E%7B-1%7D%280.15%29)
![\theta=8.5307656](https://tex.z-dn.net/?f=%5Ctheta%3D8.5307656)
![\theta \approx 8.5](https://tex.z-dn.net/?f=%5Ctheta%20%5Capprox%208.5)
Therefore, the angle of depression is 8.5 degrees.
I need more context is there more context or no?
It is called 'down payment'.
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Answer:
270
Step-by-step explanation:
![\frac{540}{2}=270](https://tex.z-dn.net/?f=%5Cfrac%7B540%7D%7B2%7D%3D270)
Answer:
D
Step-by-step explanation: