Unit 4&5 Study Guide

A streetlight that is 12 feet tall casts a shadow that is 6 feet long. A person standing nearby is 5 feet tall. The scale factor of the dilation relating the person's height to the streetlight's height is:

• 1/2

• 5/12

• 2

• 12/5

A zip-liner is 150 feet above ground while attached to a zip line that extends 275 feet from the starting platform to the ground. To the nearest degree, find the angle of elevation from the ground to the zip-liner’s starting platform.

• 32°

• 33°

• 34°

• 35°

A zip-liner is 150 feet above ground while attached to a zip line that extends 275 feet from the starting platform to the ground. If the angle of elevation increases to 40 degrees, what is the new height of the zip-liner if the zip-line remains 275 feet long?

• 150 feet

• 176.8 feet

• 200 feet

• 225 feet

A square has an area of 64 square feet. It is dilated with a scale factor of 0.25, so what is the area of the dilated square?

• 4

• 8

• 16

• 32

A blueprint of a building shows the front entrance as 5 inches wide while the actual entrance is designed to be 12.5 feet wide. What is the scale factor used to enlarge the blueprint to real-world size?

• 15

• 25

• 30

• 35

A toy model of a car is 9 inches long. The actual car it is based on is 15 feet long. Determine the scale factor used to shrink the real car into the model size.

• 1:10

• 1:15

• 1:20

• 1:25

A ranger station is located on one side of a river, and a dock is located directly across on the other side. A bridge is being planned to connect the two locations. The following information is known: The angle between the ranger station and the dock is 48°. The distance from the ranger station to a flagpole directly across from the dock is 250 feet. Which function should be used to find the bridge length?

• Cosine function, because the 250-foot distance represents the adjacent side to the 48° angle.

• Sine function, because the 250-foot distance represents the opposite side to the 48° angle.

• Either sine or cosine function can be used without any difference.

• None of the above.

A ranger station is located on one side of a river, and a dock is located directly across on the other side. A bridge is being planned to connect the two locations. The following information is known: The angle between the ranger station and the dock is 48°. The distance from the ranger station to a flagpole directly across from the dock is 250 feet. Calculate the distance of the bridge (hypotenuse), rounded to the nearest foot.

• 374 feet

• 371 feet

• 380 feet

• 364 feet

Maria is driving from Macon to Valdosta, but she needs to back track to Perry to pick up her cousin. The distance from Perry to Macon is 30 miles. If the angle of elevation from Perry to Valdosta is 55 degrees, use this information to find the distance between Perry and Valdosta (assume this creates a right triangle).

• 45

• 50

• 52

• 55

A triangle has an area of 50 square inches. If it is dilated with a scale factor of 1.2, the area of the dilated triangle is:

• 72 square inches

• 60 square inches

• 66 square inches

• 70 square inches