A building 210 feet tall casts a 50 foot long shadow. If a person looks down from the top of the building, what is the measure of the angle between the end of the shadow and the vertical side of the building (to the nearest degree)? (Assume the person's eyes are level with the top of the building.)

to the nearest degree = 77°

Explanation:

This is a question under trigonometry

from the question we can find that The building is 210 feet tall and the length of its shadow is 50 feet.

The relationship between opposite and adjacent of the triangle is tan

Therefore tanθ =

θ = tan⁻¹ 0.2380

= 13.39°

then we have to calculate the measure of the angle between the end of the shadow and the vertical side of the building , which is equal to

90 - 13.39=

=76.61°

to the nearest degree = 77°