199k views
0 votes
Kira is 5 5 feet tall and casts a 10 10 -foot shadow. a flagpole nearby casts a shadow that is 28 28 feet. complete the equation to solve for the height ℎ h of the flagpole.

(a) clear check=(h×10)/5
(b) clear check=(h×5)/10
(c) clear check=(10×h)/5
(d) clear check=(5×h)/10

1 Answer

4 votes

Final answer:

To solve for the height of the flagpole, you can set up a proportion using the given information. Cross-multiply and divide to find the height.

Step-by-step explanation:

To solve for the height (h) of the flagpole, we can set up a proportion using the given information. We know that Kira's height (5 feet) is to her shadow length (10 feet) as the flagpole's height (h) is to its shadow length (28 feet). This can be expressed as:

5/10 = h/28

To solve for h, we can cross-multiply and then divide:

5 * 28 = 10 * h

140 = 10h

Dividing both sides of the equation by 10, we get:

h = 14 feet

User Kendale
by
8.1k points