A tree on a hillside casts a shadow 200 ft down the hill. If the angle of inclination of the hillside is 23 to the horizontal and the angle of elevation of the sun is 54, find the height of the tree. Please round the answer to the nearest integer.

Answer 1

draw a diagram you will see that

(h+200 sin 23°)/(200 cos 23°) = tan 54°
h = 175.25