Essential Questions

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Tuesday, March 27
Essential Questions

• How do I use Trigonometry to solve word problems?

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1.
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2.
What is the length of the diagonal of a square
with side lengths
The length of the diagonal of a square is 22.
What is the length of each side?
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7.
A baseball "diamond" is a square of side length
90 feet. How far is the throw, to one decimal
place, from home plate to second base?
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8.
To find the height of a tower, a surveyor
positions a transit that is 2 meters tall at a
spot 95 meters from the base of the tower. She
measures the angle of elevation to the top of the
tower to be 32. What is the height of the tower,
to the nearest meter?
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9.
A slide 4.1 m long makes an angle of 27 with the
ground. How high is the top of the slide above
the ground?
10.
Liola drives 16 km up a hill that is at a grade
of 10o. What horizontal distance, to the nearest
tenth of kilometer, has she covered?
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12.
A photographer shines a camera light at a
particular painting forming an angle of 40 with
the camera platform. If the light is 58 feet from
the wall where the painting hangs, how high above
the platform is the painting?
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13.
A tree 19 feet tall casts a shadow which forms an
angle of 49 with the ground. How long is the
shadow to the nearest hundredth?
14.
Find tan S.
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15.
Find tan A for the right triangle below
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Use the diagram to find cos x as a fraction in
simplest form.
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Find tan B for the right triangle below
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18.
19. Find sin A.
20. Write sin B.
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21.
Use a calculator to find cos 17, cos 37, cos
57, and cos 77. As the angle increases, what
happens to the cosine of the angle? Explain.
22.
Find the value of x, to the nearest whole number.
(not drawn to scale)
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23.
Find sin P, cos P, tan P.
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Write the trigonometric ratio. a. sin A b. tan
B c. cos A
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25.
26. A 220 ft string attached to a kite makes a
30o angle with the ground. What is the
height of the kite to the nearest tenth?
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27.
A parasailing company uses a 50-foot cable to
connect the parasail to the back of the boat.
About how far is the parasail from the water when
the cable has a 35 angle of elevation? Explain
how you got your answer.
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28.
Solve using the diagram and the given
measurements. (Note The triangle is not drawn
to scale.) B 49, a 4
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Use a special right triangle to find the sine and
cosine of the given angle.
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31.
32.
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33.
Assume that is an acute angle. If sin A
0.9540, find tan A to four decimal places. (Use
your calculator.)
34.
Assume that is an acute angle. If sin A 0.994,
use a calculator to find the measure of to two
decimal places.
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Find the measure of an acute angle that satisfies
the given equation. Round your answers to the
nearest tenth of a degree.
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37.
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Solve the right triangle
38.
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39.
An antenna is atop the roof of a 100-foot
building, 10 feet from the edge, as shown in the
figure below. From a point 50 feet from the base
of the building, the angle from ground level to
the top of the antenna is 66. Find x, the height
of the antenna, to the nearest foot.
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40.
An airplane is flying at an elevation of 1500
feet. What is the airplane's angle of elevation
from the runway when it is 5000 feet from the
runway? Explain.
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Chapter 5 Review Worksheet