Use the Law of Sines to find the missing side of the triangle.

Find b.
A. 70.1
B. 43.8
C. 57.1
D. 31.5

Law of Sines and Cosines Quiz Part 1

A spotlight is mounted on a wall 7.4 feet above the floor in an office building. It is used to light a door 9.3 feet from the wall. To the nearest degree, what is the angle of depression from the spotlight to the bottom of the door?
Answer: A.39°

A tree that is 10 yards tall casts a shadow 14 yards long. Find the angle of elevation from the tip of the shadow to the top of the tree. Round to the nearest degree.
Answer: B.36°

Use the Law of Sines to find the missing side of the triangle.

Find b.
Answer: B.43.8

For a triangle, ABC, find the measure of segment AB given m∠A = 55°, m∠B = 44°, and b = 68.
Answer: B.96.68

Use the Law of Cosines to solve the problem.

On a baseball field, the pitcher’s mound is 60.5 feet from home plate. During practice, a batter hits a ball 216 feet. The path of the ball makes a 34° angle with the line connecting the pitcher and the catcher, to the right of the pitcher’s mound. An outfielder catches the ball and throws it to the pitcher. How far does the outfielder throw the ball?

Answer: C.169.3 ft

In triangle STU, s = 9 cm, t = 15 cm, and measure of angle upper U equals 37 degrees. Find u.

Answer: C.9.5 cm

7) Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

tan(35)=x/12
.7=x/12
12*.7=x
Answer: x=8.4
8) Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.
2879.4
sin=opposite/hypotenus
sin 10 degrees=500/x
x(sin 10 degrees)=500
0.1736481x=500
x=500/0.1736481
Answer: x= 2879.4 meters

so we all from connexus :,)) ??

The answer is b 43.8

im an honors student, these were my assignments for this lesson:

the practice test:
1. 43.8
2. 58.8
3. 169.3 ft
4. 33.9
5. 44.7
6. 9.5cm

and for the quiz:
1. 96.68
2. 58.34
3. 39
4. 48.4
5. 70.0
6. 95
7. 169.3
8. this one is written but i think you can just copy and paste this equation:
cos(10) = 500/x
x = 500/cos(10)
x = 507.7

it is indeed b. 43.8

We sure are zeke=monke 😢

I mean at least I am, whazzaaaap

deku is right

now how bout part two?😃

Shhhhhh

Deku is 100% right for the multiple choice questions.