A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘ .

Mathematics

1 answer:

solniwko [45]3 years ago

3 0

Complete Question

A person standing 213 feet from the base of a church observed the angle of elevation to the church's steeple to be 33 ∘. Find the height of the church

Answer:

138.3 ft

Step-by-step explanation:

We solve this question above using using the Trigonometric function of Tangent.

tan θ = Opposite/Adjacent

Where:

Opposite = Height of the church = x

Adjacent = Distance for the base of the church = 213ft

Angle of elevation θ = 33°

Hence:

tan 33 = x /213 ft

Cross Multiply

x = tan 33 × 213 ft

x = 138.32381735 ft

x = Opposite Approximately = 138.3 ft

Therefore, the height of the church = 138.3 ft

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