Geometry B Semester Exam

A right triangle has a hypotenuse of length 24 and an angle of 30°, with a side opposite this angle of length 12. A second right triangle also has an angle of 30°, with a hypotenuse of length 12. Determine the length of the side opposite the 30° angle on the second triangle.

• The side opposite the second triangle’s 30° angle has length 24.

• The side opposite the second triangle’s 30° angle has length 12√3.

• The side opposite the second triangle’s 30° angle has length 3.

• The side opposite the second triangle’s 30° angle has length 6.

Tags

CCSS.HSG.SRT.C.8

To get from the ship to the dock, Mae must walk up a ramp with an angle of elevation of 17° and a height of 5.3 feet. To the nearest tenth, how long is the ramp?

Tags

CCSS.HSG.SRT.C.8

A plane takes off at an angle of 78° and covers a horizontal distance of 950 m. Find the distance the plane traveled as it was taking off.

• 197.52 m

• 929.24 m

• 971.22 m

• 4,569.25 m

Tags

CCSS.HSG.SRT.C.8

Stavros is looking up at a tree that is 42 feet away from him, at an angle of elevation of 23°. What is the tree’s height, x, and the distance between Stavros and the top of the tree, y?

• x = 98.95 ft. and y = 107.49 ft.

• x = 17.83 ft. and y = 45.63 ft.

• x = 45.63 ft. and y = 17.83 ft.

• x = 17.83 ft. and y = 38.03 ft.

Tags

CCSS.HSG.SRT.C.8

If the perimeter of an equilateral triangle is 24 inches, what is the length of the side that is opposite the 30-degree angle of the 30-60-90 triangle that is formed by half of the equilateral triangle?

• 4 inches

• 16 inches

• 8 inches

Tags

CCSS.HSG.SRT.C.8

Use the image to answer the question.

Use the Law of Cosines equation to solve for the indicated angle x. Round your answer to the nearest tenth.

• x = 56°

• x = 32.9°

• x = 90.3°

• x = 57.1°

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the diagonal length of a rectangular painting with dimensions of 36 inches by 48 inches.

• 60

• 54

• 72

• 84

Tags

CCSS.8.G.B.8

A bird is perched on the top of a building that is 13 feet tall. You spot the bird as you're walking across the street. If you are 6 feet tall and the diagonal distance from you to the bird is 26 feet, what is the angle of elevation you are using to look at the bird? Use the inverse of sine to find your answer and round to the nearest whole degree.

Tags

CCSS.HSG.SRT.C.8

Stairs are built using horizontal planks placed within a right triangle dimension. If the ratio of the base and height of the triangle portion are not measured properly, the staircase may be too steep. Imagine you are building a short staircase for your garage that consists of three steps. The height from the garage floor to the bottom of the door is three feet, and you plan to build the stairs five feet out from the wall. Using the inverse of tangent, what is the angle of elevation from the base of the stairs to the bottom of the door? Round your answer to the nearest whole degree.

Tags

CCSS.HSG.SRT.C.8

Name three radii in the circle.

• GK, GH, and GI

• KI, GH, and IJ

• GI, GH, and IJ

• GK, GH, and IJ