Angles of Elevation and Depression

The angle of depression from a helicopter to a landing pad is 

 $65^{\degree}$ . If the horizontal distance from the helicopter to the landing pad is 1,000 feet, how high up is the helicopter? 

• 1,912.4 ft

• 1,955.2 ft

• 2,144.5 ft

• 2,218.9 ft

Nick is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Nick's mom to Nick is

 $73^{\degree}$  , how far off the ground is Nick?

• 118.2 ft

• 120.9 ft

• 124.3 ft

• 126.5

• 128.1 ft

The angle of depression from the top of a flag stick to a golf ball on the ground is

 $24^{\degree}$  . If the flagstick is 6 feet tall, how far away is the golf ball from the base of the flag stick?

• 13.5 ft

• 12.3 ft

• 9.8 ft

• 14.6 ft

• 15.1 ft

Jack is using a ladder to hang lights up on his house. He places the ladder 5 feet from the base of his house and leans it so it reaches a window 14 feet above the ground. Find the angle of elevation of the ladder.

•  $65.5^{\degree}$  

•  $68.4^{\degree}$  

•  $70.3^{\degree}$  

•  $71.5^{\degree}$  

Solve for x:

 $\cos60^{\degree}=\sin\left(x\right)$  

•  $30^{\degree}$  

•  $45^{\degree}$  

•  $60^{\degree}$  

•  $90^{\degree}$  

The acute angles of a right triangle are always _______________________, which is why

 $\sin\left(x\right)=\cos\left(90-x\right)$  .

• supplementary 

• complementary

• adjacent

• congruent

Tristan is attempting to dive from an 8 foot high diving board into a tube that is located 12 feet from the end of the diving board. What should be his angle of depression to ensure he hits the tube?

• $30.5^{\degree}$

• $31.9^{\degree}$

• $32.2^{\degree}$

• $33.7^{\degree}$

Sara is flying a kite at the park. The angle of elevation from Sara to the kite in the sky is

 $53^{\degree}$ and the length of the string is 32 feet. If Sara is 5 feet tall, how far off the ground is the kite? 

• 23.4 feet

• 25.6 feet

• 27.2 feet

• 28.4 feet

• 30.6 feet

Solve for x
 $\sin\left(71^{\degree}\right)=\cos\left(x^{\degree}\right)$  

•  $71^{\degree}$  

•  $35^{\degree}$  

•  $29^{\degree}$  

•  $19^{\degree}$  

 $\$ 

The angle of elevation from the bottom of the ski lift to the top of the mountain is  $62^{\degree}$ . If the vertical height of the mountain is 1,760 feet, what is the total distance traveled on the ski lift from the bottom of the mountain to the top of the mountain? 

• 1,952.8 ft

• 1,993.3 ft

• 2,020,5 ft

• 2,102.7 ft