Please help this is so easy and show work!!!!

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0

1 year ago

Miguel's teacher asks him to color 4/8 of his grid. He must use 3 colors: red, blue, and green. There must be more green section

Julli [10]

Miguel must color miguel must color 2/8 green, 1/8 red, and 1/8 blue.

i hoped i helped

6 0

3 years ago

Read 2 more answers

What is the x-intercept of the line 10x-5y=40

jasenka [17]

Answer:

4

Step-by-step explanation:

The x-intercept occurs when y=0, if you think about it graphically. Plug y=o into your equation:

10x - 5(0) = 40

10x = 40 (divide each side by 10)

x=4

8 0

3 years ago

Mr.jacobs budgeted $1,200 for tiles. His sketch of the floor requires him to use 38 white tile. each white tile cost $12. Write

Arturiano [62]

Given:
Budget for tiles = 1,200
number of white tiles = 38
unit cost of white tiles = 12
budget for brown tiles = x

cost of white tiles = 38 x 12 = 456

The inequality would be:

Cost of brown tiles + cost of white tiles < budget
x + 456 < 1,200

solving the inequality:
x + 456 < 1,200
 - 456 -456
x < 744

Mr. Jacobs can spend up to 744 for the brown tiles.

8 0

3 years ago

Casey buys sandwiches and bags of chips. each sandwich cost three times as much as a bag of chips she bought 5 sandwiches for 6$

Serhud [2]

Answer: Casey bought 6 bags of chips

Step-by-step explanation:

6 0

3 years ago