Question

5.
5. Kara is zip-lining in the rainforest. She is standing at the top of Platform A
ready to zip-line to Platform B. If the horizontal distance between the
platforms is 500 feet and the length of the zip-line is 685 feet, find the
angle of depression from Platform Ato Platform B to the nearest tenth.

Answer 1

Answer:

The  angle of depression from Platform A to Platform B is $43.1^{\circ}$

Step-by-step explanation:

Refer the attached figure

The horizontal distance between the  platforms is 500 feet i.e. BC = 500

The length of the zip-line is 685 feet i.e. AB = 685

We are supposed to find the  angle of depression from Platform A to Platform B

Hypotenuse = 685

Base = 500

$Cos \theta = \frac{Base}{Hypotenuse}\\Cos \theta = \frac{500}{685}\\\theta = cos^{-1}(\frac{500}{685})\\\theta = 43.11^{\circ}$

Hence  the  angle of depression from Platform A to Platform B is $43.1^{\circ}$