Angle of Elevation & Depression

What trigonometric ratio would be used to find the distance from the ship to the plane?

• sine
• cosine
• tangent
• inverse sine

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. At what angle does the ladder have to be in order to reach the top of the house?

• 68.2 degrees

• 21.8 degrees

• 23.6 degrees

• 58.9 degrees

From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter. 

• 185.18 meters
• 523.55 meters
• 220.80 meters
• 624.27 meters

A building 62 feet tall casts a shadow 21 feet long. At what angle is the sun shining on the building?

• 19.80

• 18.71

• 70.20

• 71.29

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

• 1.2 m
• 28.9 m
• 6.1 m
• 28.2 m

From a hot air balloon 2,500ft above the ground, you see a clearing whose angle of DEPRESSION is 25 degrees.  to the nearest foot, what is your horizontal distance from the clearing?

• 1166 feet
• 5361 feet
• 5916 feet
• 2758 feet

Spencer is going snowboarding.  He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet.  The angle of elevation from the bottom to the top of the mountain is 25^o.  What is the length of the Spencer’s run (his trip down the hill)? 

• 3216.76 feet
• 633.93 feet
• 699.46 feet
• 3549.30

After traveling a horizontal distance 400m from a runway, a plane is 300m above the ground. Calculate its angle of elevation.

• 50

• 0.053

• 36.9

• 95

I am cleaning the windows on my house.  I place a 4.5 m ladder against the side of my house to reach a window that is 4 m above the ground.  What is the angle that the ladder makes with the ground? Hint: think about how a ladder leans to draw your picture.

• 37°
• 42°
• 27°
• 63°

Solve for the missing angle

• 50
• 0.053
• 36.9
• 95