Question

Find the sin of Write your answer as an integer or a decimal rounded to the nearest hundredth.

Answer 1

Using Pythagorean theorem FH is equal to √70(radical) therefore sine of G would be equal to sin^-1(√70/√85)=65.16010754 rounded to the hundredths place is 65.16

Answer 2

`sin(G)=0.91`

Explanation:

Recall that
`sin(\theta)=(opposite)/(hypotenuse)` with respect to the angle
`\theta` for a right triangle. Since we are given our hypotenuse of
`√(85)` and our adjacent side of
`√(15)`, we can use the Pythagorean Theorem to solve for the missing opposite side:

`a^2+b^2=c^2\\\\(opposite)^2+(adjacent)^2=(hypotenuse)^2\\\\(opposite)^2+(√(15))^2=(√(85))^2\\\\(opposite)^2+15=85\\\\(opposite)^2=70\\\\opposite=√(70)`

Thus,
`sin(G)=(√(70))/(√(85))\approx0.91`