Finding the angle of Elevation

Question

So here's the question:

There's a 140 foot tree that is on a sloped price of property and casts a shadow of 200 feet. The angle of elevation of the sun is 38 degrees. I need to find the angle of elevation of the sloped ground.

I keep trying to find it but I just keep getting stuck. I am making a triangle using theta for the elevation of the hill, the 200 foot shadow, and the 38 degree elevation of the sun but I still need another side or angle to be able to use the law of sines or cosines to find the angle. Any help would be appreciated. Thanks in advance.

Answer 1

Draw and label a diagram!

t is the top of the tree

s is the tip of the shadow

sin 38° / 140 = sin t / 200

200 (sin 38° / 140) = sin t

θ + 38º + t = 90º

Answer 2

You can use the law of cosines to solve for the third side c.

Now you will have side c and angle c so you can use the law of sines to solve for the remaining angles