Download CP Algebra II 12-1 Practice Name: 4/21/14 1. Solve the equation 2

CP Algebra II
Name: ________________________
1.
Solve the equation cos A 
12-1 Practice
4/21/14
3
19
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2.
Use trigonometric functions to find all missing sides and angles.
3.
In ABC , C is a right angle. Use the given measurements to find the missing side lengths and
missing angle measures of ABC . Round to the nearest tenth if necessary. The measurement of
A =36˚, and side a = 12.
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4.
In ABC , C is a right angle. Use the given measurements to find the missing side lengths and
missing angle measures of ABC . Round to the nearest tenth if necessary. Given: a = 8, c = 17
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5.
An observer on top of a 60-foot tall lighthouse sees a boat in distress at a 5˚ angle of depression.
How far is the boat from the base of the lighthouse?
6.
A crow sits on top of a power line. The angle of depression from the crow to the feet of an observer
standing away from the power line is 35˚. The distance from the crow to the observer is 50 meters.
How tall is the power line?
7.
A six-meter-long ladder leans against a building. If the ladder makes an angle of 60˚ with the
ground...
a.
Draw a picture.
b.
How far up the wall does the ladder reach?
c.
How far from the wall is the base of the ladder?
8.
A five-meter-long ladder leans against a wall, with the top of the ladder being four meters above
the ground. What is the approximate angle that the ladder makes with the ground? Round to the
nearest whole degree.
9.
A man is walking along a straight road. He notices the top of a tower is at an angle of 63˚ with the
ground at the point where he is standing. If the height of the tower is 30 meters, what is the
distance of the man from the base of the tower?
10.
A little boy is flying a kite. The string of the kite makes an angle of 30˚ with the ground. If the
height of the kite is 24 meters, find the length of the string that the boy has used.
11.
Find sin 30Þ, cos30Þ, and tan30Þ. Remember, we can use an equilateral triangle with an altitude
dropped from the top angle to the base to create this triangle. If the length of the side of the
equilateral triangle is one, and the altitude divides the base exactly in half, find the length of the
altitude and the trig functions listed.
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12.
Find sin 45Þ, cos 45Þ, and tan 45Þ . Remember, we can use a square and a diagonal to create this
triangle. Given that the hypotenuse (diagonal) is one, how long are the other two sides of the
triangle?
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13.
Find sin 60Þ, cos 60Þ, tan 60Þ. Hint: Use the picture from problem #11.
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14.
Jamie is 5’8” tall. Find the length of her shadow if the angle of elevation of the sun is 30.2˚.
15.
If tan B  3, find the five remaining trigonometric functions.
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