Question

A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet.

a. Find the length of the side of the lot opposite the 60° angle.

b.Find the length of the hypotenuse of the triangular lot.

c. Find the sine, cosine, and tangent of the 30° angle in the lot. Write your answers as decimals rounded to four decimal places.

Answer 1

you know that for such a triangle, the sides are in the ratio

1:√3:2

So, the short side is 41
The long side is 41√3
The hypotenuse is 41*2

The functions of 30° are standard values, which it would be well to learn.

Answer 2

a.71 ft