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

The angle of depression from Platform A to Platform B is
`43.1^(\circ)`

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 = (Base)/(Hypotenuse)\\Cos \theta = (500)/(685)\\\theta = cos^(-1)((500)/(685))\\\theta = 43.11^(\circ)`

Hence the angle of depression from Platform A to Platform B is
`43.1^(\circ)`