The designers of a water park are creating a new slide and have sketched some preliminary
drawings. The length of the ladder is a = 26 feet, and its angle of elevation is 60º (see figure).
?
?
Find the angle of depression from the top of the slide to the end of the slide at the ground in terms of the horizontal distance d the rider travels.
?
A.
B.
C.
D.
E.
Answer: A
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Set up the general equation from the given statement.c varies directly as d and inversely as the square of f and g.
A. c =
B. c =
C. c =
D. c =
Solve the problem.Island A is 150 miles from island B. A ship captain travels 250 miles from island A and then finds that he is off course and 160 miles from island B. What angle, in degrees, must he turn through to head straight for island B? Round the answer to two decimal places. (Hint: Be careful to properly identify which angle is the turning angle.)
A. 34.92° B. 110.17° C. 55.08° D. 145.08°
Solve the problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. If when
and
, what is the volume when
and
?
A. 250.0 in.3 B. 270.0 in.3 C. 260.0 in.3 D. 220.0 in.3
Solve the problem.A 28-ounce can of pears costs $2.24. A 14-ounce can of the same brand of pears costs $1.40. How much does a consumer save in total by buying 1 large can instead of 2 small cans?
A. $0.57 B. $0.66 C. $0.51 D. $0.56