trigonometry
posted by Winsel .
From a mountain 1780 ft. high, the angle of depression of a point on the nearer shore of a river is 48deg40mins and of point directly across on the opposite side is 22deg20mins. What is the width of the river between the two points?

The height of the mountain is represented by the ver. side of a rt triangle. The line of sight of the 48
deg. angle represents the hypotenuse.
The hor. side is X.
A 2nd rt triangle
is formed by the line of sight of the
22 deg. angle, and its' ver. side is also the height of the mountain. the
hor. side = X + W where W is the width of the river.
Tan(48,40min) = 1780/X, X = 1565.6 Ft
Tan(22,20min) = 1780/(1565.6+W).
1565.6 + W = 1780/Tan(22,20min),
W = 2767.3 Ft. = Width of river. 
from the top of a mountain 532 m higher than a nearly river, the angle of depression of a point P on the closer bank of the river is 52.6o and the angle of depression of a point Q directly opposite. on P in the other side is 34.5o points P,Q and the foot of the mountain are on the same horizontal line. find the distance across the river from P to Q
Respond to this Question
Similar Questions

trig
from an observer tower, a ff.above the level of a river,the angle of depression of a point on the near shore is theta and that of a point directly beyond on the far shore is FI. show that the width of the river is a (cotan theta=p+q/r) 
math
From a mountain 1780 ft. high, the angle of depression of a point on the nearer shore of a river is 48 degrees 40 minutes and of a point directly across on the opposite side is 22 degrees 20 minutes. What is the width of the river … 
Physics
A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 60.0 m downstream from the point directly across the river, 80.0 m wide. What is the speed of the river current? 
physics
A swimmer heads directly across a river, swimming at 1.10 m/s relative to the water. She arrives at a point 52.0 m downstream from the point directly across the river, 72.0 m wide. What is the speed of the river current? 
Physics Dynamics
Swimming at 2.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 35 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current … 
Trigonometry
4. An observer is near a river and wants to calculate the distance across the river. He measures the angle between his observations of two points on the shore, one on his side and one on the other side, to be 28ยบ. The distance between … 
Physics
Swimming at 3.00 m/s relative to still water, a swimmer heads directly across a river of width 80 m. He arrives 50 m downstream from the point directly across the river from his starting point. (a) What is the speed of the current … 
Maths
A cliff on the bank of a river is 250m high if the angle of depression of the point of the opposite side of the river is 50 degree,find the width of the river 
Maths
A cliff on the bank of a river is 250m high if the angle of depression of the point of the opposite side of the river is 50 degree,find the width of the river 
Math
A cliff on the bank of a river is 250m high if d angle of depression of d point of d opposite side of the river is 50 degree,find the width of d river