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Find the value of t, rounded to the nearest tenth

Find the value of t, rounded to the nearest tenth-example-1
User Ezzored
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1 Answer

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Given:

Given that RST is a right triangle.

The measure of ∠R is 35°.

The length of ST is 12 units.

The length of the hypotenuse is t units.

We need to determine the value of t.

Value of t:

The value of t can be determined using the trigonometric ratio.

Thus, we have;


sin \ \theta=(opp)/(hyp)

where
\theta=R, the side opposite to ∠R is ST and hypotenuse is SR.

Substituting these values, we get;


sin \ R=(ST)/(SR)

Substituting ST = 12 and SR = t, we get;


sin \ 35^(\circ)=(12)/(t)

Simplifying, we get;


t=(12)/(sin \ 35^(\circ))


t=(12)/(0.574)


t=20.9

Thus, the value of t is 20.9 units.

User Homerocker
by
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