4.7 #2
Name:
1. A boat is pulled in with a winch located on a dock 10 feet about
the deck of the boat. Let Ө be the angle of elevation from the
boat to the winch and s be the length of the rope from the
winch to the boat. (Sketch picture together in class).
a. Write Ө as a function of s
b. Find Ө when s = 52 feet
2. A television camera at ground level is filming the lift off of a
space shuttle at a point 750 meters from the launch pad. Let Ө
be the angle of elevation to the shuttle and let s be the height of
the shuttle. (Sketch picture).
a. Write Ө as a function of s
b. Find Ө when s = 400 meters
3. An airplane flies at an altitude of 6 miles toward a point directly
over an observer. Ө is the angle from the observer to the plane
and x is the horizontal distance from the observer to the plane.
(Draw picture below):
a. Write Ө as a function of x
b. Find Ө when x = 10 miles
4. Evaluate without using a calculator:
a. arcsec 2
b. arc sec 1
c. arccot (- 3 )
d. arccsc 2
5. Solve the following algebraically:
a. cos [ arcsin (
3
)]
5
b. cot (arctan
4
)
3
c. cos (arcsin
24
)
25