Trigonometry PreTest

1. Find the value of sin θ if cos θ = 3/5 

•   a.                      5/3 
• b.                 4/5
• c.    5/4 
• d. √34/5

Find csc 5°

•  a. 11.4301
• b. 0.0872
• c. 1.1666
• d. 11.4737

Find x.

• √1469
• 3√141
• 27
• 1269

. Express each trigonometric ratio as a fraction for angle θ, when AC = 13 and BC = 12.

• a.  sin θ =12/13 , cos θ =5/13 , tan θ =5/12
• b.  sin θ =5/13 , cos θ =12/13 , tan θ =5/12
• c.  sin θ =5/13 , cos θ =12/13 , tan θ =12/5
• d.  sin θ =12/13 , cos θ =5/13 , tan θ =12/5

Lynn is standing at horizontal ground level with the base of the Sears Tower in Chicago. The angle formed by the ground and the line segment from her position to the top of the building is 15.7°. The height of the Sears Tower is 1450 feet. Find her distance from the Sears Tower to the nearest foot

• a.  408 ft
• b.  7 ft
• c.  5159 ft
• d.  5358 ft

A rocket ship is two miles above sea level when it begins to climb at a constant angle of 3.5° for the next 40 ground miles. About how far above sea level is the rocket ship after its climb? 

• a.  2.4 mi
• b.  4.4 mi
•   c.  653.9 mi
• d.  655.9 mi

In triangle ABC , given the following measures, find the measure of the missing side to the nearest tenth. a = 14.8, c = 24.6, m∠B = 82.7

• a.  b = 27
• b.  b = 824.1
• c.  b = 10.1
• d.  b = 731.7

During one stage of the drawbridge’s motion, the raised end is 18 yards above the ground. What is the incline of the drawbridge to the nearest hundredth? 

• a.  0.005°
• b.  16.70°
• c.  17.46°
• d.  72.54°

 If measure of angle L =61.9 degrees, measure of angle K =74.6 degrees, and side l= 16.5, find k.

• a.  15.9
• b.  18.0
• c.  14.6
• d.  15.1

Trevor, Robert, and Maurice made some paper airplanes and want to see how far they will fly. The distance from Trevor to Robert is 13.5 feet. The distance from Robert to Maurice is 14.2 feet. The distance from Maurice to Trevor is 6.6 feet. Find the measures of the three angles in the triangle.

• m∠T= 82.2 m∠R=27.4 m∠M=70.4
• m∠T=27.4 m∠R=70.4 m∠M = 82.2
• m∠T= 70.4 m∠R = 82.2 m∠M = 27.4
• m∠T= 60 m∠R = 60 m∠M = 60