Application of Trig Functions

A 100 foot escalator rises a vertical distance of 60 feet, as shown in the diagram below. What is the measure of the angle identified with a question mark in the diagram?

A wire is attached 45 feet above the ground to a telephone pole. The wire makes an angle of 35° with the ground, as shown below. What is the length of the wire?

• 54.9 feet

• 78.5 feet

• 64.3 feet

• 25.8 feet

Jamel was skiing down a slope where the angle of elevation was 18°. If the length of the slope was 2500 ft, what was the vertical drop of the slope?

• 2377.6 ft

• 812.3

• 772.5 ft

• 8090.2 ft

A 110 foot escalator rises a vertical distance of 55 feet, as shown in the diagram below. What is the measure of the angle identified with a question mark in the diagram?

When the angle of elevation of the sun is 53°, a flagpole casts an 24-meter shadow. How tall is the flagpole, to the nearest tenth of a meter?

• 31.8 meters

• 19.2 meters

• 14.4 meters

• 18.1 meters

An equilateral triangle ABC is shown in the figure below. If the height of △ABC is 50 centimeters, what is the length of a side of this triangle in centimeters?

• 43.4 cm

• 57.7 cm

• 100 cm

• 28.9 cm

What is the length of AC in the figure below?

• 104 units

• 45 units

• 26 units

• 30 units

Rectangle ABCD is shown below with the dimensions given in units. What is AC in units?

• 8.7 units

• 5.8 units

• 20 units

• 11.5 units

The diagram below shows two paths Zaniyah takes from her house to her school. What is the approximate measure of the angle, in degrees, formed by Main Street and Broadway?

A man standing 100 ft from a tall building measures the angle of elevation to the top of the building from the point where he is standing. If that angle is 62°, approximately how tall is the building?

• 88.3 ft

• 188.1 ft

• 46.9 ft

• 53.2 fttt