How long must a ladder be to reach the top of 20” wall if the ladder and the wall form a 32 angle at the top

 23.58

Step-by-step explanation:

23.97 ft

Step-by-step explanation:

In this question apply the expression for determining cosine of an angle.

Cosine of an angle x°=length of the adjacent side÷hypotenuse

where α is the angle in degrees, A is the adjacent side length, and H is the hypotenuse

Given α=32° and A=20ft  H=?

Applying the expression

In this case, the length of the ladder represents the hypotenuse side of the triangle which will be 23.97 ft

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value