A front yard is being watered by a rotating sprinkler. One side of the yard has a white picket fence which extends from the end of the house to the road. The sprinkler is placed 4.2 m away from the end of the fence near the road. The angle between the fence and the sight line connecting the sprinkler and the end of the fence is 37.7°. The sprinkler has a spray of 3 m. What length of the fence is being sprayed by the water?

Answer:

See below

Step-by-step explanation:

Let the required distance be x meters

Here sin37.7/cos37.7  = x/4.2 

x = (sin37.7/cos37.7)×4.2 = 0.73×4.2 ≈3.1 meters 

Answer:

Step-by-step explanation:

length of the fence is being sprayed = 4.2 * tan 37.7 = 4.2 x 0.772 = 3.24m

The answer is in the image 

The answer is in the image 

The solution is in the following image

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

Area of rectangle= L*b

here,

L=12.4 cm

b= 8.8 cm

A= L*b

= 12.4 * 8.8 = 109.12 cm^2