4th Six Weeks Review

1. Let tan θ =  $\frac{12}{5}$ , where sin θ > 0. Find the exact value of sin θ.

•  $\frac{5}{13}$  

•  $\frac{5}{12}$  

•  $\frac{12}{13}$  

•  $\frac{13}{12}$  

2. Find the exact value of sin θ.

• a $\frac{\sqrt{119}}{5}$

• b $\frac{5}{12}$

• c $\frac{\sqrt{119}}{12}$

• d $\frac{12}{5}$

3. The angle of elevation from the tip of a building’s shadow to the top of the building is 70° and the distance is 180 feet. Find the height of the building to the nearest foot.

• 62 ft

• 66 ft

• 169 ft

• 495 ft

4. The front view of a roof is a triangle ABC with A = 102°, B = 23°, and c = 20 feet. Find a.

• 8.0 ft

• 16.7 ft

• 23.9 ft

• 50.1 ft

5. In △DEF, D = 52°, e = 9, and f = 14. Find d.

• 6.3

• 8.7

• 8.8

• 11.0

6. In △RST, r = 2.4 in., s = 8.2 in., and t = 10.1 in. Find S.

• 15.1°

• 21.7°

• 28.9°

• 33.3°

7. Let cos θ = $\frac{5}{13}$ , where sin θ > 0. Find the exact value of sin θ.

•  $\frac{5}{13}$  

•  $\frac{5}{12}$  

•  $\frac{12}{13}$  

•  $\frac{13}{12}$  

8. The side view of a curb ramp is a triangle ABC with A = 27°, B = 78°, and c = 19 feet. Find a.

• 8.8 ft

• 8.9 ft

• 40.4 ft

• 40.9 ft

9. In △DEF, D = 47°, e = 12, and f = 8. Find d.

• 6.3

• 8.7

• 8.8

• 18.4

10. In △RST, r = 7.8 in., s = 4.2 in., and t = 3.9 in. Find S.

• 15.1°

• 16.2°

• 78.9°

• 148.7°