Geometry Review: Using Trig to Find a Missing Side

In right triangle ABC below, m∠C = 90°, AC = 12, and m∠A = 25°. Which equation is correct for △ABC?

• a = 12 tan 25°

• c = 12 tan 25°

Tags

CCSS.HSG.SRT.C.8

Given the right triangle in the diagram below, what is the value of x, to the nearest foot?

• 11

• 17

• 18

• 22

Tags

CCSS.HSG.SRT.C.8

A vertical mine shaft is modeled in the diagram below. At a point on the ground 50 feet from the top of the mine, a ventilation tunnel is dug at an angle of 47°. What is the length of the tunnel, to the nearest foot?

• 47

• 54

• 68

• 73

Tags

CCSS.HSG.SRT.C.8

As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34°. If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot?

• 29.7

• 16.6

• 13.5

• 11.2

Tags

CCSS.HSG.SRT.C.8

A tipping platform is a ramp used to unload trucks, as shown in the diagram below. The truck is on a 75-foot-long ramp. The ramp is tipped at an angle of 30°. What is the height of the upper end of the ramp, x, to the nearest tenth of a foot?

• 68.7

• 65.0

• 43.3

• 37.5

Tags

CCSS.HSG.SRT.C.8

A man was parasailing above a lake at an angle of elevation of 32° from a boat, as modeled in the diagram below. If 129.5 meters of cable connected the boat to the parasail, approximately how many meters above the lake was the man?

• 68.6

• 80.9

• 109.8

• 244.4

Tags

CCSS.HSG.SRT.C.8

Yolanda is making a springboard to use for gymnastics. She has 8-inch-tall springs and wants to form a 16.5° angle with the base, as modeled in the diagram below. To the nearest tenth of an inch, what will be the length of the springboard, x?

• 2.3

• 8.3

• 27.0

• 28.2

Tags

CCSS.HSG.SRT.C.8

The diagram below shows a tree growing vertically on a hillside. The angle formed by the tree trunk and the hillside is 100°. The distance from the base of the tree to the bottom of the hill is 140 feet. What is the vertical drop, x, to the base of the hill, to the nearest foot?

• 24

• 25

• 70

• 138

Tags

CCSS.HSG.SRT.C.8

The diagram below shows two similar triangles. If tan θ = 3/7, what is the value of x, to the nearest tenth?

• 1.2

• 5.6

• 7.6

• 8.8

Tags

CCSS.HSG.SRT.C.8

Triangle ABC has a right angle at C. If AC = 7.7 and ∠B = 24°, what is AB, to the nearest tenth?

• 18.9

• 17.3

• 8.4

• 3.1

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11