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

@tkhunny

Answer 2

do you know how similar triangles work

Answer 3

This is a problem testing ONLY your familiarity with the 30-60-90 right triangle.

Side opposite the 30º angle is the smallest of the 3 sides. 1/2 of something
Side opposite the 60º angle is the lasrger of the two legs. sqrt(3)/2 of something
It is also sqrt(3) times the shorter leg.

Answer 4

ratio if the sides are equal for any 2 similar triangles

Answer 5

tkhunny got this

Answer 6

@Luigi0210

Answer 7

You're not even going to try it?

41' is half of something.
Multiply that by sqrt(3)
You're almost done.

Answer 8

216000

Answer 9

@tkhunny

Answer 10

\(41\cdot\sqrt{3} = ??\)