Sample Assessment Review Geometry Mr. Lovemore Wednesday , March 04, 2020 Set B

Name: ___________________________________ Period: __________ Score: ________Direction: Read, analyze and understand of what is being asked in the following: SHOW your WORK. Don’t forget to use the concept of law of cosine formula.

1. For ∆ ABC, find m∠ B to the nearest tenth of a degree. (one decimal place)

2. For ∆ ABC, find m∠ A to the nearest tenth of a degree. (one decimal place)

3. Surveying: To find the length of AB of a small lake, a surveyor measured angle ACB to be 960, AC to be 91 yards, and BC to be 71 yards. What is the approximate length of the lake?

4. To approximate the length of a lake, a surveyor starts at one end of the lake and walks 245 yards. He then turns 110º and walks 270 yards until he arrives at the other end of the lake. Approximately how long is the lake?

 

2.

A

C

A C

B

B

C

length of the lake

c=?

91 yd. 71 yd.960

Sample Assessment Review Geometry Mr. Lovemore Wednesday , March 04, 2020 Set B

5. Use the Law of Cosines to determine the straight-line distance between the Food Court (A) and the Dunkin’ Swing Exit (C).

6. From point A, the distance to one side of a canyon is 200 yards and the distance to the other side of the canyon is 550 yards. The angle formed by the lines of sight is 41°. Find the width of the canyon to the nearest yard.

6.

C

B

BB

7..

8.

AA

b=?AA

9..

AA

CA

AA

?A