The height of the was determined using SOH CAH TOA. Because we have the Adjacent angle and the base of the phenomenon, the height of the triangle is
What is SOH CAH TOA?
The SOH CAH TOA simply means:
Sin A = Opposite/Hypothenuse
Cos A = Adjacent / Hypothenus
Tan A = Opposite /Adjacent
Solution
Note that we have the base as 20 meters and Adjacent angles "A" as 37°.
Given that
Tan A = Opposite /Adjacent; we have
Tan 37° = Opposite (Height)/ 20 meters (Adjacent)
0.7536 = Height/ 20
Make Height the subject of the formula by multiplying both sides by 20.
Hence,
Height = 0.7536 * 20
= 15.072
≈ 15m
Learn more about Adjacent angles at:
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