Right Triangle Trigonometry part 2

An observer standing on the top of a vertical cliff spots a house in the adjacent valley at an angle of depression of 12 degrees. The cliff is 60 meters tall. How far is the house from the base of the cliff? Solve to the nearest tenth.

• 282.3

• 12.8

• 12.5

• 288.6

Tags

CCSS.HSG.SRT.C.8

A blimp hovers at an altitude of 500 feet above a tennis stadium. The pilot of the blimp sees a creek at a 10 degree angle of depression. Which equation will determine the horizontal distance between the creek and the stadium? Select the correct equation.

• $x\ =\ \frac{500}{\tan10}$

• $x\ =\ \frac{\tan10}{500}$

• x = 500tan10

• $x\ =\ \frac{10}{\tan500}$

Tags

CCSS.HSG.SRT.C.8

The top of a lighthouse is 80 feet above sea level, the angle of elevation from a fishing boat to the top of the lighthouse is 5 degrees. What is the equation for the distance from the top of the lighthouse to the boat? Select the correct equation.

• $x\ =\ \frac{80}{\sin5}$

• $\frac{\sin5}{80}$

• x = 80sin5

• $x\ =\ \frac{5}{\sin80}$

Tags

CCSS.HSG.SRT.C.8

A student whose eye level is 5 feet above the ground measures the angle of elevation to the top of the flagpole as 29 degrees. The student is standing approximately 162 feet from the base of the flagpole. What is the height of the flagpole to the nearest foot?

• 79 ft

• 90 ft

• 85 ft

• 95 ft

Tags

CCSS.HSG.SRT.C.8