chipmunkcaitlyn chipmunkcaitlyn

10-07-2022
Mathematics

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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

Find the tangent of angle Θ in the triangle below A 4sqroot6565 B 95 C 49 D sqroot654 E 94 class=

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Medunno13 Medunno13

10-07-2022

Answer: [tex]\frac{\sqrt{65}}{4}[/tex]

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

[tex]\sqrt{9^{2}-4^{2}}=\sqrt{65}[/tex]

Therefore,

[tex]\tan \theta=\boxed{\frac{\sqrt{65}}{4}}[/tex]

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