Right Triangle Trig Word Problems

A point on the ground is 64 m away from the base of the building. Find the angle of elevation from this point to the top of the building if the building is 32 m high. Round your answer to 3 significant figures.

Tags

CCSS.HSG.SRT.C.8

A hot air balloon 21 m high is tied with rope to the ground at an angle of 31.38°. How long is the rope holding it to the ground? Round your answer to 3 significant digits.

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CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

An airplane 12000 m in the air is 30 km from the air traffic control tower. What is the angle of depression from the airplane to the air traffic control tower? Round your answer to 3 significant digits.

Tags

CCSS.HSG.SRT.C.8

A supporting wire for a 16-m high radio tower is 23.3 m long. It is attached at ground level and to the top of the tower. The angle of depression of the wire from the top of the tower is ?

• 34.48°

• 43.37°

• 46.63°

• 55.52°

• 45.16°

The angle of elevation of the top of a tree from a point 15.2 m from the base of the tree is 52.2°. Find the height of the tree (to the nearest meter).

• 12 m

• 15 m

• 19 m

• 20 m

• 25 m

Tags

CCSS.HSG.SRT.C.8

Find the angle of depression from point A to point B correct to two decimal places.

Tags

CCSS.HSG.SRT.C.8

The angle of elevation of the sun at a particular time of day was 49°. What was the length of the shadow cast by a 30-meter tall building at that time?

Tags

CCSS.HSG.SRT.C.8