Geometry - 8.6 Angles of Elevation/Depression

A tree casts a 75 foot shadow. The angle of elevation from the ground to the top of the tree is 40 degrees. How tall is the tree? (To the nearest foot.)

• h=62.9 feet
• h=62.9
• h=63
• h=63 feet

Tags

CCSS.HSG.SRT.C.8

If the angle of elevation from a bird looking at a person on top of a building 45 degrees, what is the angle of depression?

• 45 degrees
• 50 degrees 
• 90 degrees
• 40 degrees

A person is on top of a building looking down to a bird on the ground. The angle of depression is 50 degrees and the bird is standing 15 feet from the building. How tall is the building? (To the nearest foot.)

• 17.88 feet
• 18 feet
• 17.87 feet
• 18.87 feet

Tags

CCSS.HSG.SRT.C.8

What is the measure of the other angle in the triangle in the previous question?

• 40 degrees
• 45 degrees
• 50 degrees
• 90 degrees

Tags

CCSS.8.G.A.5

What is the angle of elevation in the picture shown? (To the nearest degree.)

• 16 degrees
• 17 degrees
• 16.69 degrees
• 18 degrees

Tags

CCSS.HSG.SRT.C.8

Solve for x to the nearest hundredth of a mile.

• x=7.46 mi
• y=7.46 mi
• x=8 mi
• x=7 mi

Tags

CCSS.HSG.SRT.C.8

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree.  The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse? 

• 7.5 ft 
• 15 ft 
• 26 ft 
• 30 ft 

Tags

CCSS.HSG.SRT.C.8

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Tags

CCSS.HSG.SRT.C.8

A 25ft ladder is leaning up against a wall. If the ladder makes a 63^o with the ground, how far is the base of the ladder from the wall?

• 12.4 ft
• 11.3 ft
• 22.3 ft
• 49.1 ft

Tags

CCSS.HSG.SRT.C.8

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

Tags

CCSS.8.G.B.8