Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

PLEASE PLEASE HELP!! THANK YOU!

EXPLANATION = BRAINLIEST & FIVE STAR RATING

What is the value of sin E?

Give your answer as a simplified fraction


PLEASE PLEASE HELP THANK YOU EXPLANATION BRAINLIEST Amp FIVE STAR RATING What Is The Value Of Sin E Give Your Answer As A Simplified Fraction class=

Sagot :

Answer:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]

Step-by-step explanation:

Recall that sine is the ratio between the opposite side and the hypotenuse in a right triangle:

[tex]\displaystyle \sin x=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]

In the given triangle, with respect to E, the adjacent side is 99, and the hypotenuse is 101. So, we are not given the value of the opposite side.

Since it is a right triangle, we can use the Pythagorean Theorem. Hence:

[tex]OU^2+99^2=101^2[/tex]

Solving for OU (the opposite side) yields:

[tex]OU=\sqrt{101^2-99^2}=20[/tex]

Therefore, the opposite side is 20.

Hence:

[tex]\displaystyle \sin E=\frac{20}{101}[/tex]