Trigonometry right angle

Question

A tree is growing -ft feet from a home. The home owner is worried the tree could fall onto the house during a storm and is considering having a tree service come out and cut it down. To determine if the tree needs to be cut down the home owner stands '16' feet from the tree and measures the angle between the ground and the top of the tree to be . Find the height of the tree. (Round to 2 decimal places)

Answer 1

Draw and label a diagram!

t represents the height of the tree

t / 16 = tan 61°

t = 16 tan 61°

Shall the tree hit the house?