Posted by anonymous on Sunday, January 10, 2010 at 4:06pm.
A bridge is 70m long. From the ends of the bridge the angles of depression of a point on a river under the bridge are 41 degrees and 48 degrees. How high is the bridge above the river?

Math  trigonometry  drwls, Sunday, January 10, 2010 at 5:21pm
The point is obviously not under the MIDDLE of the bridge because the angles are not equal. I will assume however that it is directly under the bridge.
Let x be the distace by which the point is displaced from being below the middle of the bridge. Let h be the height of the bridge.
h/(35 + x) = sin 41
h/(35  x) = sin 48
(35x)/(35+x) = sin 41/sin48 = 0.88281
35  x = 30.899 + .88281x
Solve for x and then solve for h. 
Math  trigonometry  jhk, Monday, April 18, 2011 at 10:02pm
hlkh