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Evgen [1.6K]
4 years ago
10

5.

Mathematics
1 answer:
andrew-mc [135]4 years ago
4 0

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}

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