The lengths of the leg of a right triangle opposite an angle with measure of 30 degrees is 10. Find the length of its hypotenuse.

a) 5
b) 10
c) 5 square root of 3
d) 20

Question

The lengths of the leg of a right triangle opposite an angle with measure of 30 degrees is 10. Find the length of its hypotenuse.

a) 5
b) 10
c) 5 square root of 3
d) 20

anonymous · Answer

20

parthkohli · Answer

The angle opposite to 30 is x and the hypotenuse is 2x.
So, if x = 10, then hypotenuse = 2x = 20

anonymous · Answer

tan 30 =10/(the other side) so the other side =10/tan 30=10sqrt3 
so hypotenuse =sqrt( 10^2 +10^2*3)=sqrt 400=20

anonymous · Answer

@ParthKohli has an easier solution