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In ΔVWX, the measure of ∠X=90°, WV = 17, VX = 15, and XW = 8. What ratio represents the sine of ∠W?

2 Answers

5 votes

Answer:

15/17

Explanation:

using the rule of SOH CAH TOA

User Sabuhi Shukurov
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3.1k points
2 votes

Answer:


Sin \ \angle W=(15)/(17)

Explanation:

-In a right triangle, the Sine of the base acute angle is usually given as:


Sin \angle (base)=(Opposite \ Length)/(Hypotenuse)

-In ΔVWX,, VX is the opposite and WV the hypotenuse.

-Therefore, sine of ∠Wis calculated as;


Sin \ \angle W=(Opp)/(Hyp)\\\\=(15)/(17)

Hence, sine of ∠W is given represented by the ratio
(15)/(17)

User Nour Abo Elsoud
by
3.2k points