Review pt 1

If a 20 ft. ladder is leaning on a building and the angle of elevation is 60 degrees, how far is the ladder from the base of the building?

• 10 ft

• 40 ft

• 20 ft

• 30 ft

At a point 50 ft from a house, the angle formed with the ground looking to the top measures 83 degrees. Find the height of the house. Round your answer to the nearest foot.

• 99 ft

• 98 ft

• 406 ft

• 407 ft

Jake is on top of a 500 ft tall building staring at a hot dog stand. The angle of depression is 37 degrees. How far is the hot dog stand from the base of the building? Round to the nearest foot.

• 31 ft

• 377 ft

• 360 ft

• 38 ft

Eliel is flying a kite that has a string of 27 meters. The angle between the ground and the point where he is holding the kite is 61 degrees. Find how high the kite flies. Round to the nearest tenth.

• 23.1 m

• 13. 23.6 m

• 54.3 ft.

• 54.4 ft

Eliel has a ladder resting 12 ft up the side of his house. The start of the ladder is 10 ft from his house. Find the angle between the start of the ladder and the ground. Round to the nearest foot.

• 40 ft.

• 51 ft.

• 50 ft.

• 39 ft.

The sides of a rectangle are 15 cm and 5 cm. What is the measure to the nearest degree of the angle formed by the short side and the diagonal of the rectangle?

• 71 degrees

• 80 degrees

• 90 degrees

• 72 degrees

Kareem wants to know how tall a building in his neighborhood is. Since he can't directly measure the height of the buiding he decides to use the properties of a right triangle. He walks 100 feet from the base of the building and looks up to the top. He estimates the angle from his vantage point to the top of the building to be 75 degrees. How tall is the building? Round to the nearest foot.

• 373 ft.

• 400 ft

• 298 ft

• 275 ft.

Samantha is standing 20 ft away from a large tree. The angle of elevation is 57 degrees. How tall is the tree? Round to the nearest tenth of a foot.

• 30.7 ft

• 30 ft

• 30.8 ft

• 30.9 ft

A flagpole is 128 m tall. How far is the person if the flagpole's shadow and the person make a 36 degree angle?

• 176m

• 186 m

• 196 m

• 166 m

A girl walked due North for 50 ft, up a mountain. Her best friend is at an angle of 26 degrees. What is the unknown distance to get to her best friend?

• 200 ft

• 115 ft

• 114.1 ft.

• 12 ft