Sean and jackie made a shady area by stretching a bedspread over a clothesline. the bedspread was 2.4 m long and made an angle of 52 degrees with the ground where it was anchored at each side. how wide was the shady area?

1.47 m

Step-by-step explanation:

Given: The bedspread was 2.4 m long and made an angle of 52 degrees with the ground where it was anchored at each side.

To Find: How wide was the shady area?

Solution:

Refer the attached figure.

The bedspread was 2.4 m long i.e.AC = 2.4 m

The bedspread made an angle of 52 degrees with the ground i.e.∠ACB = 52°

Now we are supposed to find the width of shady area .i.e. BC

We will use trigonometric ratio.

In ΔABC

Hence the width of the shady area is 1.47 m

1st integer x

2nd integer x+1

3rd integer x+2

4th integer x+3

x+x+1 +x+2+x+3 =74

combine like terms

4x+6 = 74

subtract 6 from each side

4x = 68

x = 17

the integers are 17,18,19,20