Question

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

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

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

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

Answer 1

a. 41 square root of 3
b. hypotenuse= 41x2= 82 ft.
c. sine: 41/82-.5
cos: 41sqr. rt. 3/82= .8660
tan: 41/ 41 square root 3= .5774

Answer 2

thanks jasmine :)

Answer 3

welcome, glad to help!