Trig Assessment

A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 

• 25 feet
• 45 feet 
• 110 feet 
• 135 feet 

Solve for x. Round to the nearest tenth.

• 7.5

• 34.1

• 14.1

• 30.1

Find a. 

• 2
• 4
• 2/√2
• 2√3

Find n.

• 4
• 6
• 12
• 2√3

Mr. Creole must find the distance from Point A to Point B on opposite sides of a lake. He locates Point C that is 4.15 miles from point A and 5.33 miles from Point B. He measures the angle ACB to be 37^o. Find the distance from point A to point B.

• 3.72 miles

• 6.18 miles

• 10.30 miles

• 3.21 miles

In an effort to recover Abraham's lost cell phone, two cell towers stationed 6000 feet apart detect the signal from the phone. Using strength of signal, the west tower measures the phone to be 5050 feet away and the east tower detects the phone to be 2420 feet away (see diagram). What angle  $\theta$  should Abraham walk from the west tower to get to his phone?

•  $\theta=18.48\degree$  

•  $\theta=23.33\degree$  

•  $\theta=24.17\degree$  

•  $\theta=27.91\degree$  

Find the area of the triangle.

• 68.22

• 81.98

• 57.40

• 92.35