Question

In a right triangle, one of the acute angels has an exact measure as tan-1(1.5). The leg opposite the angle has a length of a 3 m. What is the length of the adjacent leg ?

Answer 1

2 m

Explanation:

The tangent of an angle is the ratio ...

Tan = Opposite/Adjacent

Here, you have ...

1.5 = (3 m)/Adjacent

Adjacent = (3 m)/1.5 = 2 m . . . . . multiply by Adjacent/1.5

The length of the adjacent leg is 2 m.