Question

In a 30-60-90 right triangle, the length of the hypotenuse is 1.5 feet. What is the length of the other two legs?

Answer 1

One is 0.75 and the other is 1.3 feet.

Explanation:

Using the given angles,
`sin(30) = a/1.5` and `cos(30) = b/1.5`

`a = 0.75` and `b = 1.3`

CHECK with the Pythagorean Theorem:
`(0.75)^2 + (1.3)^2 = (1.5)^2`
`0.56 + 1.69 = 2.25`
`2.25 = 2.25` CORRECT!