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

let the side opposite to 60 deg. be x
tan60 = perpendicular/base
\[\sqrt{3}=x/41 \]

Answer 2

\[x=41\sqrt{3}\]
=1.73*41=71.01

Answer 3

2) hypo =\[\sqrt{per^2+base^2}\]

Answer 4

=81.9 approx 90

Answer 5

3) sine30=1/2=0.5
cosine30 = rt 3 /2=0.8
tan30 =1/rt3

Answer 6

@amber.smith19 do u understand