The silhouette of a Christmas tree is an isosceles triangle. The angle at the top of the triangle is 30.0°, and the base measures 1.5 m across. How tall is the tree?
Assuming that the base angles are the equal ones meauring 75° each, we can use the Law of Sines to find the height. We have....
.75 m / sin (15 ) = h / sin (75) multiply each side by sin(75)
(.75 m)(sin(75)/sin(15) = height = about 2.8 m
Here's a picture if the situation....