Question

A ladder is 40 ft and an 80 degree decline its an isosceles right triangle what so my sides equal

Answer 1

The sides are equal to

x=6.9 ft and y=39.4 ft

Explanation:

step 1

Find the adjacent side to the angle of 80 degrees

Let

x ----> the adjacent side to the angle of 80 degrees

we know that

The function cosine of angle of 80 degrees is equal to divide the adjacent side to the angle of 80 degrees by the hypotenuse (40 ft)

cos(80°)=x/40

x=(40)cos(80°)

x=6.9 ft

step 2

Find the opposite side to the angle of 80 degrees

Let

y ----> the opposite side to the angle of 80 degrees

we know that

The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees by the hypotenuse (40 ft)

sin(80°)=y/40

y=(40)sin(80°)

y=39.4 ft