Posted by **Erick** on Wednesday, November 28, 2012 at 11:18pm.

1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a = 10.2 cm?

A. 58.2 cm2

B. 43.5 cm2

C. 38.4 cm2

D. 33.3 cm2

2. Given triangle ABC with β = 41°, g = 14°, and a = 5.0, find the value of c.

A. 6.2

B. 4.0

C. 1.5

D. 17

3. Resolve the vector, v, with magnitude 2.0 × 102 and angle 60°.

A. v = 170i + 100j

B. v = 120i + 160j

C. v = 100i + 170j

D. v = 10i + 17j

4. What is the area of triangle ABC if a = 83.4 ft, b = 53.1 ft, and c = 37.2 ft?

A. 16,100 ft2

B. 709 ft2

C. 1,220 ft2

D. 76.0 ft2

5. Which of the following statements relating to the Pythagorean theorem are true?

(i) The magnitude of a vector is based on the Pythagorean theorem.

(ii) The law of cosines is based on the Pythagorean theorem.

(iii) The law of sines is based on the Pythagorean theorem.

A. (i) and (ii)

B. (i) only

C. (ii) only

D. (ii) and (iii)

6. How much work is done by raising a 117-lb box vertically 18.0 inches?

A. 25,300 ft-lb

B. 2,110 ft-lb

C. 176 ft-lb

D. 5,190 ft-lb

7. Given triangle ABC with g = 61.0°, β = 29.0°, and b = 20.5, find the value of a.

A. 37.0

B. 11.4

C. 42.3

D. 9.94

8. Given triangle ABC with b = 14.0, c = 11.0, and β = 105°, find the value of a.

A. 20

B. 8.7 and 20

C. 6.3

D. 6.3 and 12

- trigonometry -
**Steve**, Thursday, November 29, 2012 at 11:05am
I did #1 for you (see related links below). These questions cover a variety of techniques, so you must have studied several topics. Have you no ideas at all on their workings? If not, a little help here may not be sufficient to get you through.

## Answer This Question

## Related Questions

- Trigonometry - 1. What is the area of triangle ABC if a = 47.0°, β = 57.8...
- Trigonometry - 1. What is the area of triangle ABC if a = 47.0°, β = 57.8...
- geometry - 1. What is the lateral surface area of a square pyramid with side ...
- Math - 1. What is the area of triangle ABC if a = 47.0°, β = 57.8°, and a...
- Math - The dimensions of triangle B are three times the dimensions of triangle A...
- math - Find the area of a parallelogram with base b and height h. b = 82 cm h = ...
- Algebra - Use 3.14 for Pi and round to the nearest tenth. Find the surface area...
- geometry - a cone with slant height 22 cm and radius 7 cm (1 point) about 484 ...
- Math - The area of a hexagon is 42 square cm. If all the dimesions of the ...
- Math Please help me - A rectangular prism has the following dimensions. length: ...

More Related Questions