Trig Lesson 3: angles of elevation and depression

The angle of depression from the girl to the car is...

• $\angle1$

• $\angle2$

• $\angle3$

• $\angle4$

The angle of elevation from the car to the girl is...

• $\angle1$

• $\angle2$

• $\angle3$

• $\angle4$

The angle of elevation from the girl to the helicopter is...

• $\angle1$

• $\angle2$

• $\angle3$

• $\angle4$

The angle of depression from the plane to the island is...

• $\angle1$

• $\angle2$

• $\angle3$

• $\angle4$

Tommy has caught his kite in the top of a 16 foot tall tree. From where Tommy is standing, the angle of elevation to the top of the tree is  $29\degree.$  What is the length of the string to the nearest foot? 

• 33 ft

• 29 ft

• 18 ft

• 8 ft

A blue bird at the top of a tree spots a girl holding an apple four feet off the ground. If the angle of depression from the blue bird to the apple is  $55\degree,$  and the girl and apple are 15 feet from the tree, how tall is the tree? Round to the nearest foot.

• 16 ft

• 17 ft

• 21 ft

• 25 ft

The angle of elevation from the bottom of the ladder to the top of the building is  $30\degree.$  Which equation below can be used to find the height  $\left(h\right)$   of the building if the ladder is 20 feet long? 

•  $h=\frac{20}{\sin30\degree}$  

•  $h=20\sin30\degree$  

•  $h=30\sin20\degree$  

•  $h=\frac{30}{\sin20\degree}$  

•  $h=\frac{\sin30\degree}{20}$  

A boy is flying a kite on a 75 foot long string. The angle of elevation from the ground to the kite is  $42\degree.$  How high is the kite off the ground to the nearest foot? 

A loading ramp is 21 m long with a height of 7 m. What is the angle (to the nearest degree) of the incline the ramp forms with the ground? (**you are looking for an angle here, so use an inverse trig ratio -  $\sin^{-1},\ \cos^{-1},\ or\ \tan^{-1}$  )

A 45 foot tall lighthouse spots a ship at an angle of depression and calculates the ships distance to 150 feet away. Which equation below would correctly find the angle of depression  $\left(\theta\right)$  ?

• $\theta=\tan^{-1}\left(\frac{150}{30}\right)$

• $\theta=\sin^{-1}\left(\frac{30}{150}\right)$

• $\theta=\tan^{-1}\left(\frac{30}{150}\right)$

• $\theta=\cos^{-1}\left(\frac{150}{30}\right)$

• $\theta=\cos^{-1}\left(\frac{30}{150}\right)$