11.The diagram below shows a ramp connecting theground to a loading platform 4.5 feet above theground, The ramp measures 11.75 feet from theground to the top of the loading platform.In AABC, the complement of ZB is LA. Whichstatement is always true?14.A. tan ZA = tan ZBC. cos LA = tan Z BRamp-11.75 ftB. sin LA = sin ZBD. sin LA = cos LB4.5 ftDetermine and state, to the nearest degree, theangle of elevation formed by the ramp and theground.15. Which expression is always equivalent to sin xwhen 0° < x < 90°?A. cos(90° - x)C. cos(2r)B. cos(45°-x)D. cos x12. A ladder leans against a building. The top ofthe ladder touches the building 10 feet above theground. The foot of the ladder is 4 feet from thebuilding. Find, to the nearest degree, the anglethat the ladder makes with the level ground.16. In AABC, where LC is a right angle,V21cos A =What is sin B?13. In scalene triangle ABC shown in the diagrambelow, mLC = 90°.V21A.V21В.C.D.V2117. In right triangle ABC, mLC = 90°. If cos B = ,which function also equals ?Which equation is always true?A. sin A = sin BC. cos A = sin CA. tan AB. tan BC. sin AD. sin BB. cos A = cos BD. sin A = cos Bpage 3GeometryTrigonometryB. The diagram shows rectangle ABCD, with diagonal18When instructed to find the length of HJ in21.right triangle HJG, Alex wrote the equation sinBD.HJwhile Marlene wrote cos 62° =20HJ28° =Are both students' equations correct? Explain why.20122030°28What is the perimeter of rectangle ABCD, to thenearest tenth?А. 28.4В. 32.8C. 48.0D. 62.419.Find the value of R that will make the equationsin 73° = cos R true when 0° < R< 90°. Explainyour answer.22. The diagram below shows two similar triangles.2.420. In a right triangle, sin (40 - x)° = cos (3x)°. Whatis the value of x?If tan 0 =, what is the value of x, to the nearesttenth?A. 10В. 15С. 20D. 25А. 1.2В. 5.6С. 7.6D. 8.8page 4GeometryTrigonometry

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11. The diagram below shows a ramp connecting the ground to a loading platform 4.5 feet above the ground, The ramp measures 11.75 feet from the ground to the top of the loading platform. Ramp 11.75 ft 4.5 ft Determine and state, to the nearest degree, the angle of elevation formed by the ramp and the ground.

11. The diagram below shows a ramp connecting the ground to a loading platform 4.5 feet above the ground, The ramp measures 11.75 feet from the ground to the top of the loading platform. Ramp 11.75 ft 4.5 ft Determine and state, to the nearest degree, the angle of elevation formed by the ramp and the ground.

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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Question

11.
The diagram below shows a ramp connecting the
ground to a loading platform 4.5 feet above the
ground, The ramp measures 11.75 feet from the
ground to the top of the loading platform.
In AABC, the complement of ZB is LA. Which
statement is always true?
14.
A. tan ZA = tan ZB
C. cos LA = tan Z B
Ramp
-11.75 ft
B. sin LA = sin ZB
D. sin LA = cos LB
4.5 ft
Determine and state, to the nearest degree, the
angle of elevation formed by the ramp and the
ground.
15. Which expression is always equivalent to sin x
when 0° < x < 90°?
A. cos(90° - x)
C. cos(2r)
B. cos(45°-x)
D. cos x
12. A ladder leans against a building. The top of
the ladder touches the building 10 feet above the
ground. The foot of the ladder is 4 feet from the
building. Find, to the nearest degree, the angle
that the ladder makes with the level ground.
16. In AABC, where LC is a right angle,
V21
cos A =
What is sin B?
13. In scalene triangle ABC shown in the diagram
below, mLC = 90°.
V21
A.
V21
В.
C.
D.
V21
17. In right triangle ABC, mLC = 90°. If cos B = ,
which function also equals ?
Which equation is always true?
A. sin A = sin B
C. cos A = sin C
A. tan A
B. tan B
C. sin A
D. sin B
B. cos A = cos B
D. sin A = cos B
page 3
Geometry
Trigonometry
B.

The diagram shows rectangle ABCD, with diagonal
18
When instructed to find the length of HJ in
21.
right triangle HJG, Alex wrote the equation sin
BD.
HJ
while Marlene wrote cos 62° =
20
HJ
28° =
Are both students' equations correct? Explain why.
20
12
20
30°
28
What is the perimeter of rectangle ABCD, to the
nearest tenth?
А. 28.4
В. 32.8
C. 48.0
D. 62.4
19.
Find the value of R that will make the equation
sin 73° = cos R true when 0° < R< 90°. Explain
your answer.
22. The diagram below shows two similar triangles.
2.4
20. In a right triangle, sin (40 - x)° = cos (3x)°. What
is the value of x?
If tan 0 =, what is the value of x, to the nearest
tenth?
A. 10
В. 15
С. 20
D. 25
А. 1.2
В. 5.6
С. 7.6
D. 8.8
page 4
Geometry
Trigonometry

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