Question 808891
A scalene triangle's two angles of elevation are of sizes 28 degrees and 26 degrees.
 We are told that one side of the triangle is 2000m, this side lies on the ground. Can you please. Find the height of the triangle? 
:
Find the angle opposite  2000 m
180 - 28 - 26 = 126 degrees
:
Use the law of sines to find one of the other sides (b) opposite angle B, 28 degrees
{{{b/sin(28)}}} = {{{2000/sin(126)}}}
.809b = .469 * 2000
b = {{{939/.809}}}
b = 1160.6
:
This is the hypotenuse of a right triangle formed by the height which is opposite the 26 degree angle
therefore
Sin(26) = {{{h/1160.6}}}
h = 1160.6 * .438
h = 509 meters is the height
:
did this make sense to you?