Name_________________________
Worksheet 10.1-2
Check and correct section 10.2 from yesterday. Then show me correction to section 10.1 and 10.2
Part I:
3.
4.
5.
6.
C
4m
16cm
67
8ft
18ft
x
x
x
43
B
13ft
A
18
x = ________
x = ________
A = ________
x = ________
{Draw Diagram for 10- 12}
10.
A plane takes off at an angle of elevation of 8º. If the plane continues this ascent traveling at a rate of 560
mph. How high will the plane be after 0.2 of an hour of flying at this angle of ascent? {Distance = Rate  Time}
11. Fred is flying his plane at an elevation of 2.37 miles off the ground. He spots the runway of the airport at an
angle of descent of 24º. How long will it take Fred to land if he is flying at a rate of 460 mph? Find answer to the
nearest second.
PART II
Draw an angle with the given measure in standard position.
1. 420°
2. 405°
3. 450°
Find the measures of a positive angle and a negative angle that are coterminal with each
given angle.
4.   425°
7.  281°
5.   316°
6.   800°
8.   4°
9.   743°
Find the measure of the reference angle for each given angle.
10.   211°
11.   755°
12.   555°
13.   119°
14.   160°
15.   235°
P is a point on the terminal side of  in standard position.
Find the exact value of the six trigonometric functions for .
16. P(5, 5)
18. P(7, 5)
19. A circus performer trots her pony into the ring. The pony circles
the ring 22 times as the performer flips and turns on the pony’s
back. At the end of the act, the pony exits on the side of the ring
opposite its point of entry. Through how many degrees
does the pony trot during the entire act?
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Part III
Use a trigonometric function to find the value of x.
4.
5.
6.
Find the values of the six trigonometric functions for .
7.
Solve.
10. A water slide is 26 feet high. The angle between the slide
and the water is 33.5°. What is the length of the slide?
11. A surveyor stands 150 feet from the base of a viaduct and
measures the angle of elevation to be 46.2°. His eye level
is 6 feet above the ground. What is the height of the viaduct
to the nearest foot?
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12.The pilot of a helicopter measures the angle of depression to
a landing spot to be 18.8°. If the pilot’s altitude is 1640 meters,
what is the horizontal distance to the landing spot to the
nearest meter?
Answers: 1) .52992, -.838, .1944, .5 2) a) sin10º, b) cos 80º is the same but positive 3) 14.7281 cm 4) 24.6119 ft 5) 31.6075º
6) 12.3107 7) 775.2370 cm squared 8) 832.7111 cm 9) 33.9639 cm 10) 15.5874 11) .01266 hrs or 45.601 seconds 12) 134.76º
Answers:
PART II
PART III
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