Question

A baseball fan is seated in the upper deck of a stadium 200 feet away from

homeplate. If the angle of depression to the field is 62 degrees, at what height is
the fan sitting? Hint: draw a picture and label the parts of the triangle and use
your trig ratio to find the height.*

Answer 1

Please find attached to this answer a well labelled diagram of the triangle

Answer:

Approximately 176.6 feet

Explanation:

From the question, we are to find the height at which the baseball fan was sitting.

From the attached diagram the height at which the fan was sitting is equivalent to the opposite side of the triangle.

Hence , the appropriate trigonometric function to use to solve this question is the sine function.

Sine = Opposite / Hypotenuse

Opposite is unknown so we refer to it as Y

Hypotenuse = 200feet

While the Angle of depression = 62°

Therefore,

Sine 62° = Y/ 200 feet

Cross multiply

Sine 62° × 200 feet = Y

Y = 176.58951857 feet

Approximately 176.6 feet

Therefore , the height at which the fan is sitting is 176.6 feet