Question

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot......

Answer 1

240.6 feet

Explanation:

to understand this

you need to know about:

• trigonometry
• PEMDAS

let's solve:

to find x we will use cos function

`\quad \: \cos( \theta) = (adj)/(hypo)`

substitute the value of
`\theta` and adj:

`\quad \: \cos( {67}^( \circ) ) = (94)/(x)`

cross multiplication:

`\quad \: x\cos(67^(\circ))= 94`

divide both sides by cos(67°) :

`\quad \: \frac{x \cos( {67}^( \circ) ) }{ \cos( {67}^( \circ) ) } = \frac{94}{ \cos( {67}^( \circ) ) } \\ \therefore \: x = 240.6`

Answer 2

240.6 ft is your answer of your question.