Last Homework Assignment

As a hot air balloon began to rise, the ground crew drove 1.2 miles to an observation station. The initial observation from the station estimated the angle of elevation to the hot air balloon to be  $30\degree$ .  Approximately how high was the balloon at this point?

• 0.7 miles
  

• 1 mile
  

• 1.4 miles
  

• 2.5 miles
  

Find an angle coterminal to  $72\degree.$ 

•  $432\degree$  

•  $-288\degree$  

•  $252\degree$  

•  $-108\degree$  

Convert 8.5 radians to degrees.

• $974.03\degree$

• $487.01\degree$

• $0.0698\degree$

• $0.1396\degree$

Find the phase shift of the graph of $y=1+3\sin\left(2x+\frac{\pi}{2}\right).$ 

•  $-\frac{\pi}{6}$  

•  $-\frac{\pi}{2}$  

•  $-\frac{\pi}{4}$  

•  $\frac{\pi}{2}$  

Evaluate  $\sin\left(\sin^{-1}\left(\frac{1}{2}\right)+\cos^{-1}\left(\frac{5}{13}\right)\right).$  

•  $\frac{5+12\sqrt{3}}{26}$  

•  $\frac{5-12\sqrt{3}}{26}$  

•  $\frac{12+5\sqrt{3}}{26}$  

•  $\frac{5\sqrt{3}+12}{26}$