Geometry EOC Review #7

A rope is tied to the bottom of a hot air balloon as shown below. The rope makes an angle of 35° with the ground and is 75 𝑓𝑡. long. How far is the bottom of the balloon from the ground to the nearest foot?

• 43 𝑓𝑡.

• 53 𝑓𝑡.

• 61 𝑓𝑡.

• 131 𝑓𝑡.

Tags

CCSS.HSG.SRT.C.8

The captain of a submarine views an iceberg from his periscope, as shown in the figure.

What is the height of the iceberg to the nearest meter?

• 161 𝑚

• 192 𝑚

• 210 𝑚

• 298 𝑚

Tags

CCSS.HSG.SRT.C.8

A cat is stuck in a tree. A firefighter’s 15-foot ladder is leaning against the tree. The ladder and the ground form a 62° angle. How high above the ground does the ladder touch the tree?

• 7.04 𝑓𝑡.

• 13.24 𝑓𝑡.

• 16.99 𝑓𝑡.

• 28.21 𝑓𝑡.

Tags

CCSS.HSG.SRT.C.8

The lot of a building supply store is in the shape of a trapezoid as shown below. The broken line represents a fence used to divide the lot into two parts. What is the length to the nearest whole foot of the fence that divides the lot?

• 139 𝑓𝑡.

• 208 𝑓𝑡.

• 243 𝑓𝑡.

• 296 𝑓𝑡.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

A truck is at the top of a ramp as shown below.

Approximately how high above the ground is the truck?

• 4.45 m

• 3.59 m

• 1.95 m

• 1.75 m

Tags

CCSS.HSG.SRT.C.8

Tags

CCSS.HSG.SRT.C.6

A surveyor needs to find the width of the Miami River. Sighting a flagpole on the riverbank, the surveyor walks 95 yards along the riverbank. If the line of sight to the flagpole is 64°, what is the width of the river? Round to the nearest whole yard.

• 42 yards

• 46 yards

• 85 yards

• 195 yards

Tags

CCSS.HSG.SRT.C.8

A roof rises 4 feet over a horizontal distance of 6 feet. What is the approximate angle formed by the horizontal and the roof?

• 34°

• 42°

• 48°

• 88°

Tags

CCSS.HSG.SRT.C.8

A lighthouse stands on a hill 80 meters above sea level. The measure of ∠𝑀𝑃𝑄 is 60° and the measure of∠𝑁𝑃𝑄 is 30°.

What is the height of the lighthouse?

• 80 meters

• 120 meters

• 160 meters

• 240 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11