Answer :
ok One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2
a=4; b=5;
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
c = √41
Therefore, the hypotenuse has a length of √41.
To find the sinθ, you take the opposite over the hypotenuse.
Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5.
Your answer is 5/√41.
This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1).
This gives you the answer
a=4; b=5;
4^2 + 5^2 = c^2
16 + 25 = c^2
41 = c^2
c = √41
Therefore, the hypotenuse has a length of √41.
To find the sinθ, you take the opposite over the hypotenuse.
Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5.
Your answer is 5/√41.
This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1).
This gives you the answer