Create an image of a geometric diagram. The primary figure is a right triangle with a right angle between a vertical leg and a lower horizontal leg. From the top right vertex, a dashed line is illustrated stretching out horizontally. The vertical leg of the triangle is marked with the variable indicator 'x'. The horizontal leg of the triangle bears a label of '15 yards'. An angle of 20 degrees is shown between the hypotenuse and the horizontal dashed line. Note that the diagram does not adhere to scale. Symbols such as A, B, C, D, and numerical values from the question are not represented in the image.

Find the value of x. Round the length to the nearest tenth. Diagram is not drawn to scale.

A right triangle is drawn with right angle between a right vertical leg and lower horizontal leg. A dashed line is drawn horizontally from the top right vertex.
The vertical leg of the triangle is labeled x.
The horizontal leg of the triangle is labeled 15 yards.
The angle between the hypotenuse and dashed top line is 20 degrees.
A. 41.2 yd
B. 5.5 yd
C. 14.1 yd
D. 5.1 yd

Law of Sines and Law of Cosines Quiz Review

Find the value of x. Round the length to the nearest tenth. Diagram is not drawn to scale.
Answer: B.5.5 yd

Find the value of x. Round the length to the nearest tenth.
Answer: A.7.2 ft

To find the height of a pole, a surveyor moves 140 feet away from the base of the pole and then, with a transit 4 feet tall, measures the angle of elevation to the top of the pole to be 44°. To the nearest foot, what is the height of the pole?
Answer: D.139 ft

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

Find b.

Answer: B.43.8

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

Find m∠C to the nearest tenth.
Answer: B.58.8º

Use the Law of Cosines to find the missing angle.

Find m∠A to the nearest tenth of a degree.
Answer: A.33.9º

Thanks! That really helped!

Answer: B. 5.5 yd

Summer is 100% correct!! Thanks

just took law of sines and law of cosines quiz review and it had a couple questions not answered here so

1. <4 is the angle of elevation from the PERSON to the RADAR TOWER
2. 5.5 yd
3. 7.2 ft
4. 139 ft
5. 43.8
6. 58.8°
7. 33.9°

Yep, it's letter B.) 5.5! Thank you so much.

Thank you so much 😭

Review your basic trig functions.

x/15 = tan20°

How do I solve tho?

Thanks summer!

Thanks a lot summer!