More Trig Word Problems. 1) Mr. Vincer is standing on top of Citadel High School
when he looks down at an angle of depression of 28˚notices a herd of ...
More Trig Word Problems 1) Mr. Vincer is standing on top of Citadel High School when he looks down at an angle of depression of 28˚notices a herd of elephants wandering on the Commons (a fairly common occurrence). He also knows that Citadel high is 58 meters high. How far away is the herd of elephants?
2) Due to the risky and violent nature of Mr. Vincer’s math rapping lifestyle, there are often people who have “business” with Mr. Vincer. They are further enraged when yet another math rapping album is released titled, Angle of Elevation, You On Probation. It contains the latest math rapping hit, Show Me the Angle of Depression, You About to See Some Aggression. These individuals who have “business” with Mr. Vincer arm themselves with sniper rifles and hide out in abandoned buildings while watching out for Mr. Vincer. One evening, Mr. Vincer happens to be walking by one of these abandoned buildings. When he is 30 meters from one of these building, he looks up at an angle of elevation of 58˚ and sees a sniper taking aim from one of the windows. Looking even higher up at an angle of elevation of 64˚, another sniper is ready to shoot from another window. How far apart are the snipers? Draw the diagram.
3) While the snipers are taking aim at Mr. Vincer, a helicopter is flying overhead is searching for Mr. Vincer. When his latest math rapping song, Things is About to Be Worse, Unless You Calculate Da Inverse, comes on the radio. The helicopter pilot becomes furious and expands his search for Mr. Vincer and turns on his tracking light. This light beam is aimed at an angle of 70˚ from the vertical while the helicopter maintains an altitude of 160 m. If the spread of the light beam is 5˚, find the width of the light beam on the ground.
Trigonometry word problems 1. A guy wire is attached to a telephone pole 8.0 metre above the ground and it makes an angle of 50 ground. How long is the wire? (10.4 m) 2. When a child flying a kite has let out 50 m of string, the angle of elevation of the string is the kite? (41 m)
. How high is
with the
3. From P, the top of a building, and are measured as shown. The length of QB is 35 m. Calculate AB, the height of the building. (40.8 m)
4. An airplane flying at an altitude of 140 000 feet is sighted at an angle of elevation of 15 . How far away is it? (Line-of-sight distance) (540, 918 ft)
5. (44 m) 6. A rope is strung from the top of a 7.0 m wall to the top of a 13.0 m wall. The distance between the walls is 10.0 m. What is the angle the rope makes with the horizontal? (31 ) 7. A lighthouse built at sea level is 40.0 m high. From a buoy the angle of elevation to the top of the lighthouse is
. How far is the buoy from the foot of the lighthouse? (57.1 m)
8. Find the area of an equilateral triangle if each side is 15 cm long. (48.75 cm2) 9. A ladder 20 meters long makes an angle of with the side of a building. How far up the wall does the ladder reach? (18.1 m)
10. Given
, find the length of AC. (38.8 m)
11. Calculate the area of the following plot of land. (760 m2)
12. Determine the height (h) of the tree. (5.1 m)
13. An airplane is increasing its altitude at an angle of with the horizontal. The speed of the airplane is 480 km/h. How high will the airplane be in 5 minutes? (3.5 km) 14. Because of the current in the river, when Jean tries to swim straight across the river she actually swims at an angle of
downstream. If the width of the river is 18 m, how far does she actually swim? (18.6 m)
15. How long is the diagonal of a rectangle if it makes an angle of
with a side of 8 cm long? (10.4 cm)
16. Solve for x. (12.4 m)
