Question

Please help with the question in the picture!

Answer 1

Cos S = 48/ 73

Explanation:

Given-

Δ QRS is right triangle.

∠ Q = 90°, QR ( Height ) = 55, QS ( Base ) = 48, RS ( Hypotenuse ) = 73

Cos S =
`(Base)/(Hypotenuse) = (QS)/(RS)`

Cos S =
`(QS)/(RS)`

∴ Cos S =
`(48)/(73)`

Answer 2

cosS = 48/73

Explanation:

cosS is asking for the cosine of angle S.

Cosine is one of the primary trig. ratios, which you can remember using the acronym:

SohCahToa

"o" is opposite.

"h" is hypotenuse.

"a" is adjacent.

Cosine is the "Cah" in the acronym.

cos = a/h

The adjacent side is touching the angle. The hypotenuse is the longest side.

cosS = adjacent/hypotenuse

= QS/RS

= 48/73 This number is already in its lowest terms.