Math 1316.S37
Lab 1
Professor Merrill
Name_______________________
CCCCD-SCC
Draw a picture on every problem except in 4-8. Show all work. Circle answers.
1. A plane is approaching LAX at an altitude of 4,224 feet. If the horizontal distance
from the plane to the runway is 1.5 miles, find the diagonal distance from the plane
to the runway.
2. Given the point (-3, √7) is on the terminal side of θ, find all six trigonometric
functions.
3. Given sin θ = 
60
11
and cos θ =  , find tan θ
61
61
4. Simplify: sec θ – tan θ sin θ
5. Multiply: (4cos θ + 7)(5cos θ – 7)
6. Simplify: 6sin(z – 30o) when z = 60o
7. Convert 99.63o to degrees-minutes-seconds.
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8. Find θ in terms of degrees-minutes-seconds when csc θ = 7.5493
9. Find AB if r = 13 and angle A = 32o
10. If A = 32o, <BDC = 49o, and AB = 54, find h and x
11. The two equal sides of an isosceles triangle are 44cm each. The base measures
30cm. Find the height.
12. A 72.5-foot rope from the top of a circus tent pole is anchored to the ground 42.9
feet from the bottom of the pole. What angle does the rope make with the pole
(assume the pole is perpendicular to the ground).
13. A man wandering in the desert walks 2.4 miles in the direction S32oW. Then he
turns 90o and walks 3.4 miles in the direction N58oW. At that time, how far is he
from his starting point? What is the bearing from his starting point?
14. Two planes take off at the same time from an airport. The first plane is flying at
260mph on a bearing of S45oE. The second plane is flying in the direction S45oW at
265 mph. If there are no wind currents blowing, how far apart are they after 3
hours?