Toby the cat is stuck in a tree. Billy's dad placed a ladder 5 feet from the base of the tree and then leaned the ladder against the tree. The top of the ladder is right where Toby is sitting. If the ladder makes a 65° angle with the ground, how far up the tree is Toby the cat?

Question

anonymous · Answer

In this question the ladder the tree and ground together forms a right angle triangle so the height of the tree is given by height of the triangle
you know length of ladder (hypotenues) and angle made by ladder to ground

anonymous · Answer

ans is 5*sin 65

anonymous · Answer

Toby the cat is stuck in a tree. Billy's dad placed a ladder 5 feet from the base of the tree and then leaned the ladder against the tree. The top of the ladder is right where Toby is sitting. If the ladder makes a 65° angle with the ground, how far up the tree is Toby the cat? 

A. 
9.3 feet 
B. 
10.7 feet 
C. 
11.8 feet 
D. 
13.6 feet

anonymous · Answer

10.7

anonymous · Answer

Use tangent formula 
tan 65 = Opposite side / adjacent side

anonymous · Answer

$$5 \tan (65 {}^{\circ})=10.7225 $$