A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the building across the street and notices that the angle of elevation is 50°. She rides the elevator up three floors (60 feet)and finds that the angle of elevation to the top of the building across the street is 34°. How tall is the building across the street? (Give your answer to the nearest foot.)

Question

A woman entering an outside glass elevator on the ground floor of a hotel glances up to the top of the building across the street and notices that the angle of elevation is 50°. She rides the elevator up three floors (60 feet)and finds that the angle of elevation to the top of the building across the street is 34°. How tall is the building across the street? (Give your answer to the nearest foot.) ​

Quizplus · Accepted Answer

Using trigonometry, the height of the building can be calculated by setting up two equations based on the tangent of the angles of elevation and solving for the height. The calculations show that the height is approximately 138 feet.

A Woman Entering an Outside Glass Elevator on the Ground