Unit 10 OL Trig Summative - MC

A 8 m ladder leans against a wall. The ladder is leaned against the wall at a height of 4.6 m. Which equation can be used to find the angle between the ladder and the ground?

•  $x=\sin^{-1}\left(\frac{4.6}{8}\right)$ 

•  $x=\cos^{-1}\left(\frac{4.6}{8}\right)$ 

•  $x=\sin^{-1}\left(\frac{8}{4.6}\right)$ 

•  $x=\cos^{-1}\left(\frac{8}{4.6}\right)$ 

Coach Hardin measures the angle of elevation to the top of a 120 ft water tower to be  $54\degree$  .  Which equation can be used to find how far from the base of the tower the surveyor is standing?

•  $\tan\left(54\degree\right)=\frac{x}{120}$  

•  $\tan\left(54\degree\right)=\frac{120}{x}$  

•  $\sin\left(36\degree\right)=\frac{x}{120}$  

•  $\sin\left(36\degree\right)=\frac{120}{x}$  

The angle of depression from the top of a Tesla tower to the point where the support wire is anchored is  $35\degree$ . If the cell phone tower is 100 ft tall, which equation can be used to find how many feet of wire will be run from the top to the anchor point? 

•  $x=100\cdot\cos\left(35\degree\right)$  

•  $x=100\cdot\sin\left(35\degree\right)$  

•  $x=\frac{100}{\sin\left(35\degree\right)}$  

•  $x=\frac{100}{\cos\left(35\degree\right)}$  

Which equation could be used to find the value of x?

• $\sin\left(32\degree\right)=\frac{x}{11}$

• $\cos\left(32\degree\right)=\frac{x}{11}$

• $\tan\left(32\degree\right)=\frac{x}{11}$

• $\tan\left(32\degree\right)=\frac{11}{x}$

Find the  $m\angle A$  .

•  $36.87\degree$  

•  $1\degree$  

•  $53.13\degree$  

• Not enough information

In  $\Delta ABC$ , find the measure of  $\angle A$  to the nearest degree. 

•  $23\degree$  

•  $67\degree$  

•  $21\degree$  

•  $25\degree$  

Find the value of x.

• 6.9 cm

• 19.4 cm

• 36.0 cm

• 46.9 cm

Allen and Bob are standing 350 ft apart. They are pitching pebbles at a target on the other side of a stream. Find the approximate distances, x and y, each of them must pitch their pebbles to reach the target.

•  $x=545ft,\ y=294ft$  

• $x=476ft,\ y=257ft$

•  $x=268ft,\ y=225ft$ 

• $x=280ft,\ y=476ft$

Kari is flying a kite and 200 ft of string is let out. The angle of elevation between the kite and the ground is $48\degree$ .  Find the approximate height of the kite.

• 148.63 ft

• 222.12 ft

• 133.83 ft

• 124.32 ft

An airplane is 2.5 miles above ground. The plane is 4 miles from the airport (as measured on the ground). What is the angle of depression from the plane to the airport?

•  $58\degree$ 

•  $51\degree$ 

•  $39\degree$ 

•  $32\degree$