Geometry 1. As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34°. 34° If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foor? A. 29.7 16.6 C. 13.5 D. 11.2
Geometry 1. As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34°. 34° If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foor? A. 29.7 16.6 C. 13.5 D. 11.2
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question
Transcribed Image Text:what is the height of the tree, to the nearest tenth
As shown in the diagram below, the angle of
Trigonometry
Geometry
1.
and AC = 6.2 cm. What is the length of BC, to
the nearest tenth of a centimeter?
In right triangle ABC, mLA = 32°, mLB = 90°,
elevation from
the tree is 34°.
4.
point on the ground to the top of
D. 11.7
С. 5.3
В. 3.9
А. 3.3
34°
If the point is 20 feet from the base of the tree,
of a foor?
5.
forming an angle of 71° with the level ground.
To the nearest foot, how high up the wall of the
building does the ladder touch the building?
A ladder 20 feet long leans against a building,
A. 29.7
В. 16.6
С. 13.5
D.
11.2
В. 16
С. 18
D. 19
A. 15
2.
Given the right triangle in the diagram below,
what is the value of x, to the nearest foot!
A carpenter leans an extension ladder against a
house to reach the bottom of a window 30 feet
6.
40°
above the ground. As shown in the diagram
below, the ladder makes a 70° angle with the
ground. To the nearest foot, determine and state
the length of the ladder.
14 ft
A. 11
В. 17
С. 18
D. 22
A 20-foot support post leans against a wall,
30 ft
3.
making a 70° angle with the ground. To the
nearest tenth of a foot, how far up the wall will
the support post reach?
70°
A. 6.8
В. 6.9
С. 18.7
D. 18.8
page I
Transcribed Image Text:7.
In the diagram below, a window of a house is
15 feet above the ground. A ladder is placed
against the house with its base at an angle of 75°
with the ground. Determine and state the length
of the ladder to the nearest tenth of a foot.
In the diagram of ARST below, mLT = 90°
RS = 65, and ST = 60.
9.
65
60
What is the measure of ZS, to the nearest degree?
A. 23°
В. 43°
С. 47°
D. 67°
15
ft
75°
To build a handicapped-access ramp, the building
code states that for every 1 inch of vertical rise
in height, the ramp must extend out 12 inches
horizontally, as shown in the diagram below.
10.
In the diagram of right triangle ABC shown below,
AB = 14 and AC = 9.
8.
12
What is the angle of inclination, x, of this ramp,
to the nearest hundredth of a degree?
14
A. 4.76
В. 4.78
C. 85.22
D. 85.24
What is the measure of LA, to the nearest degree?
А. 33
В. 40
С. 50
D. 57
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