vectors question?

Question

A right triangle has an opposite =3 and an adjacent =5
1.Compute the hypotenuse
2.Compute sin theta
3.Compute theta

Answer 1

1.use pythagorean theorem
hypotenuse squared = opposite squared + adjacent squared
= 3 ^2 + 5^2
= 34
hypotenuse = square root of 34 = 5.83

2. sin(theta) = opposite divided by hypotenuse
= 3 / 5.83
= 0.514

3 sin(theta) = 0.514
theta = sin inverse (0.514)
= 31 degrees

Answer 2

LOL?

To find the hypotenuse you are given two sides of a right triangle so you can use the Pythagorean Theorem and find the hypotenuse…..

√(3^2+5^2 )= √34 = 5.83
Sine theta is opposite over hypotenuse which is 3/√34 = 0.514
Theta is tan^(-1)⁡〖3/5〗= 30.96 degrees

Answer 3

1. Use Pythagoreans theorem.
2. Use the trigonometric identity for sin of an angle of a right triangle.
3. Solve for the angle.