Question

PLEASE HELP ASAP !! TANGENT RATIO

Answer 1

QUESTION 1

The tangent ratio is the ratio of the length of the opposite side to the length of the adjacent side.

$\tan(M) = \frac{LN}{NM}$

$\tan(M) = \frac{8}{6} = \frac{4}{3}$

QUESTION 2.

We again use the tangent ratio to find angle S.

$\tan(S) = \frac{TU}{SU}$

$\tan(S) = \frac{0.75}{3.5}$

$\tan(S) = \frac{3}{14}$

$S = { \tan}^{ - 1} ( \frac{3}{14} )$

$S = 12.09 \degree$

to the nearest hundredth.

QUESTION 3

We can find CE using the tangent ratio.

$\tan(27 \degree) = \frac{18}{CE}$

$CE = \frac{18}{ \tan(27 \degree) }$

$CE = 35.3 \degree$

to the nearest 0.1.

Answer 2

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