Solve each problem

Question

From one point on the ground, the angle of elevation of the peak of a mountain is 11°

and from a point 1 000m closer the angle of elevation is 15° Both points are due east of

the mountain Find the height of the mountain

Answer 1

Draw a figure,

Let x = distance from the nearer point to the mountain and h = the height.

h/x=tan 15

h/(x+1000)=tan 11

x tan 15 = (x+1000) tan 15

x(tan 15-tan 11)= 1000 tan 15

You can finish it from here.