Tues 4/13 HG Live Review 8-5 Lesson

5 Slides • 3 Questions

1

HG Live Review 8-5

Angles of Elevation & Depression

2

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?

1

5.3 feet

2

2.8 feet

3

3.2 feet

4

11.3 feet

3

Where is Jake?

Which angle is $28\degree$ ?
$\tan28=\frac{6}{x}$
$x=\frac{6}{\tan28}\ \approx\ 11.3\ ft$

4

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.

1

23inches

2

3.9 inches

3

22.7 inches

4

0.7 inches

5

Which side is the length?

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

6

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?

1

17.1 ft.

2

11.1 ft.

3

7.4 ft.

4

13.8 ft.

7

Why does Jonathan's height matter?

$\tan48=\frac{h}{10}$
$h=10\left(\tan48\right)\ \approx\ 11.1$
$h\ =\ 11.1\ +\ 6\ =\ 17.1$

8

Now:

#030 8-5 QI

HG Live Review 8-5

Angles of Elevation & Depression

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