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score: 1/10 current time: 27.2 find: \\( \\cos b \\) *the figure is not…

Question

score: 1/10 current time: 27.2
find: \\( \cos b \\)
the figure is not drawn to scale
answer
\\( \frac { 24 } { 40 } \\)
\\( \frac { 32 } { 24 } \\)
\\( \frac { 24 } { 32 } \\)
\\( \frac { 32 } { 40 } \\)

Explanation:

Step1: Recall the cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For angle $B$, the adjacent side is $32$ and the hypotenuse is $40$.

Step2: Calculate $\cos B$

Using the formula $\cos B=\frac{32}{40}$.

Answer:

$\frac{32}{40}$