Unit 7 Test: Right Triangles

Mary is on the platform of her boat. She sights the top of a lighthouse at an angle of 30° as shown below. She knows that the height of the lighthouse is 50 meters. How far is Mary from the base of the lighthouse, in meters?

• 25

• 
  

  $25\sqrt{3}$
  

• $50\sqrt{3}$

• 100

Tags

CCSS.HSG.SRT.C.8

Tavon was skiing down a slope where the angle of elevation was 14°. If the length of the slope was 1500 ft, what was the vertical drop of the slope?

• 374.0 feet

• 362.9 feet

• 1455.4 feet

• 6200.3 feet

Tags

CCSS.HSG.SRT.C.8

The wind has blown a tree so that it is growing at a 108° angle with the ground. The top of the tree is 75 ft from the ground. How tall is the tree?

• 71.3 ft

• 75 ft

• 78.9 ft

• 93 ft

Tags

CCSS.HSG.SRT.C.8

A wire is attached 35 feet above the ground to a telephone pole. The wire makes an angle of 4° with the ground, as shown below. What is the length of the wire?

• 35 feet

• $35\sqrt{2}feet$

• $35\sqrt{3}feet$

• 45 feet

Tags

CCSS.HSG.SRT.C.8

Isaac tied a helium-filled balloon to a stake in the ground. The wind blew it so that the string attached to the balloon made an angle of 45° with the ground. If the balloon is sitting at a height of 10 ft. What is the approximate length of the string?

• 3.2 feet

• 5.0 feet

• 7.1 feeet

• 10.0 feet

Tags

CCSS.HSG.SRT.C.8

Look at the isosceles right triangle below. What is the length of AB?

• $\frac{15\sqrt{2}}{2}$

• $15\sqrt{2}$

• $\frac{15\sqrt{3}}{3}$

• $15\sqrt{3}$

Tags

CCSS.HSG.CO.C.10

What is the length of AC in the figure below?

• 8 units

• 12 units

• 14.4 units

• 20.8 units

Tags

CCSS.HSG.SRT.C.8

What is the value of x in the triangle below?

• 4

• 8

• $4\sqrt{2}$

• $8\sqrt{2}$
  

Tags

CCSS.8.G.B.7

Keshauna played basketball on a rectangular court that was 74 feet by 42 feet. After the game, she walked across the court diagonally from one corner to the opposite corner. Approximately what distance did Keshauna walk in feet?

• 58

• 61

• 85

• 116

Tags

CCSS.8.G.B.8

Rectangle ABCD is shown below with the dimensions given in units. What is AC in units?

• $8\sqrt{3}$

• $12\sqrt{2}$
  

• $12\sqrt{3}$
  

• 24

Tags

CCSS.8.G.B.8