Download 10-6 Word Problem Practice Trigonometric Ratios

NAME
10-6
DATE
PERIOD
Word Problem Practice
1. WASHINGTON MONUMENT Jeannie
is trying to determine the height of the
Washington Monument. If point A is
765 feet from the monument, and the
angle between the ground and the top of
the monument at point A is 36°, find the
height h of the monument to the
nearest foot. 556 ft
5. TELEVISIONS Televisions are commonly
sized by measuring their diagonal. A
common size for widescreen plasma TVs
is 42 inches.
#
42’’
#
h
16
h
9
"
$
h
36°
$
765 ft
a. A widescreen television has a 16:9
aspect ratio, that is, the screen width
"
16
times the screen height. Use the
is −
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
9
Pythagorean Theorem to write an
equation and solve for the height h of
the television in inches.
2. AIRPLANES A pilot takes off from a
runway at an angle of 20º and maintains
that angle until it is at its cruising
altitude of 2500 feet. What horizontal
distance has the plane traveled when it
reaches its cruising altitude? 6869 ft
2
(9 )
16
−
h
+ h2 = 422; h = 20.6 in.
b. Use the information from part a to
solve the right triangle.
width = 36.6 in., m∠A = 29°,
m∠B = 61°
3. TRUCK RAMPS A moving company uses
an 11-foot-long ramp to unload furniture
from a truck. If the truck bed is 3 feet
above the ground, what is the angle of
incline of the ramp to the nearest
degree? 16°
c. To the nearest degree what would the
measure of angle BAC be on a
standard television with a 4:3 aspect
ratio? 37°
4. SPECIAL TRIANGLES While
investigating right triangle KLM,
Mercedes finds that cos M = sin M.
What is the measure of angle M? 45°
Chapter 10
41
Glencoe Algebra 1
Lesson 10-6
Trigonometric Ratios