From a point along a straight road, the angle of elevation to the top of a hill is . From farther down the road, the angle of elevation to the top of the hill is . How high is the hill?

Complete Question:

From a point along a straight road, the angle of elevation to the top of a hill is 33° . A distance of 200 ft farther down the road, the angle of elevation to the top of the hill is 20°. How high is the hill?

The hill is 165.87 ft high

Step-by-step explanation:

Check the file attached below for a pictorial understanding of the question

From ΔABC

..........(1)

From ΔABD

............(2)

Equating (1) and (2)

Substitute the value of x into equation (1)

y = 165.87 ft

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