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

Johnny Wong asked Jul 3, 2023

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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

Johnny Wong asked Jul 3, 2023

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18 votes

Answer:
(√(65))/(4)

Explanation:

By the Pythagorean theorem, the unknown side has length

$\sqrt{9^(2)-4^(2)}=√(65)$

Therefore,

$\tan \theta=\boxed{(√(65))/(4)}$

Areum answered Jul 8, 2023

by Areum

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