Tues 4/13 HG Live Review 8-5

HG Live Review 8-5

Angles of Elevation & Depression

Multiple Choice

Q1: Jake is 6 ft. tall. He is standing outside when the angle of depression of the sun is 28 degrees. How long would his shadow be?

• 5.3 feet

• 2.8 feet

• 3.2 feet

• 11.3 feet

Where is Jake?

• Which angle is  $28\degree$  ?

•  $\tan28=\frac{6}{x}$  

•  $x=\frac{6}{\tan28}\ \approx\ 11.3\ ft$  

Multiple Choice

Q2: A ramp is being built next to a 4-inch high sidewalk. The ramps angle of elevation is 10 degrees. Estimate the length of the ramp to the nearest tenth of an inch.

• 23inches

• 3.9 inches

• 22.7 inches

• 0.7 inches

Which side is the length?

•  $\sin10=\frac{4}{l}$  

•  $l=\frac{4}{\sin10}\ \approx\ 23$  

Multiple Choice

Q3: Jonathan is standing 10 feet away from a tree. The angle of elevation from his eyes to where he sees a cat in the tree is 48 degrees. If Jonathan is 6 feet tall, how high is the cat?

• 17.1 ft.

• 11.1 ft.

• 7.4 ft.

• 13.8 ft.

Why does Jonathan's height matter?

•  $\tan48=\frac{h}{10}$  

•  $h=10\left(\tan48\right)\ \approx\ 11.1$  

•  $h\ =\ 11.1\ +\ 6\ =\ 17.1$  

Now:

#030 8-5 QI