A swimming pool has a diameter of 32 feet.

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

Given that (-3, 5) is on the graph of f(x), find the corresponding point for the function f(x) − 4.

sveticcg [70]

The graph of f(x) - 4 is obtained by translating the graph of f(x) 4 units down.
Therefore, the corresponding point for the function f(x) - 4 is (-3, 5 - 4) = (-3, 1).

7 0

3 years ago

Read 2 more answers

What is the measure of angle x? m<x = ?

Ainat [17]

Hey there! :)

The total measure for triangles is 180°

You already know 2 angles. Add both angles and subtract from 180 to find x

37 + 82 = 119

180 - 119 = 61

m∠x = 61°

Hope this helps :)

3 0

3 years ago

Lucy plans to spend between $50 and $60, inclusive, on packages of beads and packages of charms. If she buys 5 packages of beads

worty [1.4K]

She can buy maximum of $5$ packages while staying within her budget.