math help
aljdra
hw_1.docMA111 Trig Applications Worksheet
(MA111 Trig Applications Worksheet.doc)
1. A safety regulation states that the maximum angle of elevation for a rescue ladder is
°
72
. If a fire department’s longest ladder is 110 feet, what is the maximum safe rescue height?2. At a point 200 feet from the base of a building, the angle of elevation to the bottom of a smokestack is
°
35
, whereas the angle of elevation to the top is°
53
. Find the height of the smokestack alone.3. A swimming pool is 20 meters long and 12 meters wide. The bottom of the pool is slanted so that the water depth is 1.3 meters at the shallow end and 4 meters at the deep end. Find the angle of depression of the pool.
4. If the sun is setting and is
°
10
above the horizon, find the length of the shadow on the beach cast by a 60 foot condominium.5. An airplane leaves the runway with a
°
12
climb. Its speed is 180 mph. Find the plane’s altitude in 15 minutes.6. Find the angle of elevation of the sun if a 6 foot person casts a 15 foot shadow.
7. A guy wire reaches from the top of a 200 foot pole to a point on the ground 150 feet from the bottom of pole. Find the angle of elevation that the wire makes with the ground.
8. The top of a 20 foot ladder leaning against a wall touches the wall 15 feet above the ground. Find the angle that the ladder makes with the ground.
9. The height of a building: To find its height, mark off a distance of 185 feet from its base. At that point, measure the angle of elevation to the top of the building, assume it to be
0
2
46
¢
°
. How tall is the building?10. A 707 takes off at an angle of elevation of
°
35
and travels a distance in the air of 1500 feet. What is its altitude?11. From an airplane one mile high, two cities are spotted on the same side of the airplane. The angle of depression to one city is
0
1
25
¢
°
, and the angle to the other city is0
4
42
¢
°
. Find the distance between the cities.
