Download Name: II. RIGHT TRIANGLE TRIGONOMETRY Find the value of x to

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II. RIGHT TRIANGLE TRIGONOMETRY
Find the value of x to the nearest tenth.
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x
2.1
Find the value of x to the nearest degree.
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Find each missing value to the nearest tenth.
9. tan   3.5
10. tan 25  x
11. cos 30  x
12. sin   0.5
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15.
All but two of the pyramids built by the ancient
Egyptians have faces inclined at 52o angles.
Suppose an archaeologist discovers the ruins
of a pyramid. Most of the pyramid has eroded,
but she is able to determine that the length of a
side of the square base is 82 m. How tall was
the pyramid, assuming its faces were inclined
at 52o? Round your answer to the nearest
meter.
16.
A meteorologist measures the angle of elevation of a weather balloon as 41 o. A
radio signal from the balloon indicates that it is 1503 m from his location. To the
nearest meter, how high above ground level is the
balloon?
17.
Carlos is planning to build a grain bin with a radius
of 15 ft. He reads that the recommended slant of
the roof is 25o. He wants the roof to overhang the
edge of the bin by 1 ft. What should the length x
be? Give your answer in feet and inches.
Find the value of w, then x. Round lengths of
segments to the nearest tenth. Round angle measures to the nearest degree.
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22. An escalator in the subway system of St. Petersburg, Russia, has a vertical rise
of 195 ft., and rises at an angle of 10.4o. How long is the escalator? Round your
answer to the nearest foot.
23. The lengths of the diagonals of a rhombus are 2 in. and 5 in. Find the measures
of the angles of the rhombus to the nearest degree.
24.
Find the value of x to the nearest tenth.
25. Joe looks out from the crown of the Statue of Liberty approximately 250 ft above
ground. He sights a ship coming into New York harbor and measures the angle
of depression as 18o. Find the distance from the base of the statue to the ship to
the nearest foot.
26. The world’ tallest unsupported flagpole is a 282-ft-tall steel pole in Surrey, British
Columbia. The shortest shadow cast by the pole during the year is 137 ft long.
To the nearest degree, what is the angle of elevation of the sun when the
shortest shadow is cast?
27. The Americans with Disabilities Act states that wheelchair ramps can have a
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slope no greater than
. Find the angle of elevation of a ramp with this slope.
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Round your answers to the nearest tenth.
28. Two office buildings are 51 m apart. The height
of the taller building is 207 m. the angle of
depression from the top of the taller building to
the top of the shorter building is 15o. Find the
height of the shorter building to the nearest
meter.
29. A person standing 30 ft. from a flagpole can see the top of the pole at a 35o angle
of elevation. The person’s eye level is 5 ft from the ground. Find the height of
the flagpole to the nearest foot.
30.
A firefighter on the ground sees fire break
through a window near the top of the
building. There is voice contact between
the ground and the firefighters on the roof.
The angle of elevation to the windowsill is
28o. The angle of elevation to the top of the
building is 42o. The firefighter is 75 ft from
the building and her eyes are 5 ft above the
ground. What roof-to-windosill distance can
she report to the fire fighters on the roof?