Transcript Ex 2 - Cobb Learning

Right Triangle Trigonometry
Word Problems
Angle of Elevation- Angle created by a
horizontal surface and the hypotenuse.
Ex. The angle of elevation of the top of a
pole measures 48° from a point on the
ground 18 ft away from its base. Find the
height of the flagpole.
Example 1
A 6ft man casts a shadow. If the angle
of elevation to the sun is 33°, how long is
the shadow?
Ex 2: Length of a Building’s Shadow
An 850-foot tall building casts a shadow of
length L when the sun is θ° above the horizon.
Write L as a function of θ.
Complete the table below.
θ
L
10°
20°
30°
40°
50°
Ex 3: Drive-in Movie
You are 50 feet from the screen at a
drive-in movie. Your eye is on a
horizontal line with the bottom of the
screen and the angle of elevation to the
top of the screen is 58°. How tall is the
screen?
Ex. 4 Depth of a Submarine
The sonar of a navy cruiser detects a
nuclear submarine that is 4000 feet from
the cruiser. The angle between the water
level and the submarine is 32°. How deep
is the submarine?
Ex 5: Airplane Ascent
When an airplane leaves the runway, its
angle of climb is 18° and its speed is 275
feet per second. Find the plane’s altitude
after 1 minute.
Ex 6: Skyscraper
You are a block away from a skyscraper that is 780 ft
tall. Your friend is between the skyscraper and
yourself. The angle of elevation from your position to
the top of the skyscraper is 42°. The angle of
elevation from your friend’s position to the top of the
skyscraper is 71°. To the nearest foot, how far are
you from your friend?