Question

An ant looks up to the top of a tree at an angle of elevation of 40° If the ant is 30 feet from the base of the tree, what is the height of the tree, to the nearest tenth? a. 19.3 feet b. 23.0 feet c. 25.2 feet d. 35.8 feet

Answer 1

Tan(40)×30
.84*30
25.2

So the answer is C. 25.2

Hope this helps!!! :)

Answer 2

tangent = opposite / adjacent
tan (40) = tree height / 30 feet
tree height = 0.8391 * 30
tree height = 25.173 feet = 25.2 feet (rounded)
answer is c