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Tia and Braden are standing 12 feet apart from each other on opposite sides of an in-ground swimming pool. They spot a pair of goggles on the pool floor between them. The angle of depression from Tia and Braden to the goggles is 65 °and 28 °respectively. Find the direct distance from Tia to the goggles

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abiolataiwo2015 abiolataiwo2015 · Answer 1 · 2022-04-05T17:28:06+02:00

Assuming the goggles is 65 °and 28 °respectively. The direct distance from Tia to the goggles is 5.64 feet.

We would be making use of sine law to find the direct distnace

4=180°-65°-28°

4=87°

Let a represent the distance

Distance x=12/sin4=a/sin28°

a=12×sin28°/sin87°

Hence:

12/sin87°=a/sin28°

a=5.64 feet

Inconclusion the direct distance from Tia to the goggles is 5.64 feet.

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