Geometry Right Triangle Review

Which equation can be used to find the measure of angle LKJ?

Tags

CCSS.HSG.SRT.C.8

Which is the best approximation for the measure of angle ABC?

Tags

CCSS.HSG.SRT.C.8

To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground. The tree meets the ground at a right angle.

At approximately what angle does the wire meet the ground?

• 33.6°

• 39.8°

• 50.2°

• 56.4°

Tags

CCSS.HSG.SRT.C.8

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

• 16.7°

• 17.5°

• 72.5°

• 73.3°

Tags

CCSS.HSG.SRT.C.8

• 14.3 in.

• 20.5 in.

• 21.3 in.

• 22.6 in.

Tags

CCSS.HSG.SRT.C.8

• 3.0 in.

• 9.8 in.

• 10.5 in.

• 12.8 in.

Tags

CCSS.HSG.SRT.C.8

Building A and building B are 500 meters apart. There is no road between them, so to drive from building A to building B, it is necessary to first drive to building C and then to building B.

About how much farther is it to drive than to walk directly from building A to building B? Round to the nearest whole number.

• 183 meters

• 250 meters

• 366 meters

• 683 meters

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the string makes a 25 degree angle with the ground and when the string makes a 45 degree angle with the ground? Round to the nearest tenth.

• 14.2 feet

• 17.1 feet

• 47.6 feet

• 55.2 feet

Tags

CCSS.HSG.SRT.C.8

Given right triangle RST, what is the value of sin(S)?

• 5/13

• 5/12

• 12/13

• 13/12

Tags

CCSS.HSG.SRT.C.6

Given right triangle QRS, what is the value of sin(30°)?

Tags

CCSS.HSG.SRT.C.6