Question

Find the tangent of angle Θ in the triangle below.

A. 4(sqroot)65/65
B. 9/5
C. 4/9
D. (sqroot)65/4
E. 9/4

Answer 1

Answer:
`(√(65))/(4)`

Explanation:

By the Pythagorean theorem, the unknown side has length

`\sqrt{9^(2)-4^(2)}=√(65)`

Therefore,

`\tan \theta=\boxed{(√(65))/(4)}`