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From point A, 100m due south of a tower, the angle of elevation of the top of the tower is 40 degrees. From point B due east of the tower, the angle of elevation of the top of the tower is 20 degrees. How far apart are points A and B?
A shell when projected at an angle of
3
1
tan −1
to the horizon falls 60 m. short of the target. When
it is fixed at an angle of o
45 to the horizon, it falls 80m beyond the target. How far is the target
from the point of projection?
From the window in a nearby building, the angle of elevation to the top of an apartment building is 28°. The angle of depression from the same window to the bottom of the apartment building is 34°. The window is 24 feet above the ground. How tall is the apartment building?
a cone and a cylinder have equal volumes and bases of the same diameter.If the height of the cone is 27cm, what is the height of the cylinder
A street light is at the top of a 11 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 7 ft/sec along a straight path. How fast is the tip of her shadow moving along the ground when she is 45 ft from the base of the pole?
Two triangles can be formed with the given information. Use law of sines to solve the triangle
B=46degrees , a=12 , b=11
A group of Boy Scouts on a straight trail headed N30.6° E found the trail led through a briar patch. They chose to walk 156 meters due east along the south edge of the briar patch, then due north along the east edge of the patch back to the trail. How
In the San Gabriel Mountains in California, lookout station Running Deer is 18 kilometers due west of station Lazy Bear. The bearing from Running Deer to a fire directly south of Lazy Bear is S38.4°E. To the nearest tenth of a kilometer, how far is the fire from Running Deer? From Lazy Bear?
14. A fly, buzzing about the room, calculates the angle of depression of the base of an 8-foot wall is 33.7° and the angle of elevation of the top of the wall is 12.5°. Find to the nearest foot the horizontal distance the fly is from the wall.
13. A blimp is flying parallel to a road and is 2460 feet directly above it. The angles of depression of two parked cars on the road are 34.9° and 26.5°. TO the nearest foot, how far apart are the parked cars? (Note: The blimp is above a line between the parked cars.
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