please help me this problems with a drawing if possible
thaaank you very much
1. A straight line AB on the side of a hill is inclined 15.0 degrees to the horizontal. The axis of a
tunnel 486 ft. long is inclined 28.6 below the horizontal and lies in a vertical plane with AB. How
long is the vertical hole from the bottom of the tunnel to the surface of the hill?
2. A mountain peak C is 4130 ft. above sea level, and from C the angle of elevation of a second
peak B is 5.0 degrees. An aviator A directly over peak C finds that the angle CAB is 43.8 degrees
when his altimeter shows that he is 8460 ft. above sea level. Find the height of peak B to the
nearest tens place.
3. The Leaning Tower of Pisa at present leans 5.2 degrees with the vertical. At a point on the
leaning side of the tower 216 ft. from and on a level with its base and in a vertical plane through
the tower the angle of elevation of the top is 41.8 degrees. Find the height of the tower.
4. If the hour hand of a clock has a length of 4 inches, how far does its tip travel in 1 hour and 20
minutes?
5. Find the values of the following (Draw the necessary figure for each)
a.) tan(-?)
b.) cot(4?/3)
c.) tan(?/6)
d.) sec(2?/3)
6. Read the trigonometric functions of the angle subtended at O (origin) by the line connecting
(12,0) to (12,5).
7. Locate the terminal side of ? in standard position and find the other trigonometric functions if
a.) cos? = 4/5, sin? negative.
b.) sin? = -8/17, cot? positive
c.) tan? = -12/5, sin? positive
8. Show that sin(90o+A) = cosA in a diagram. (Do not use trigonometric identities)
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