Question

To estimate the height of her schools gym, Nicole sights the top of the gym wall in a mirror that she placed on the ground. The mirror is 3.6 meters from the base of the gym wall. Nicole is standing 0.5 meter from the mirror, and her height is about 1.8 meters. What is the height of the gym wall?

Answer 1

check the picture below

notice, similar triangles by AA

solve for "x"

Answer 2

The height of the gym wall is 12.96m.

Explanation:

AB//OE, ∠1 = ∠2

OE//CD, ∠3 = ∠4

∵ ∠2 = ∠3  ∴ ∠1 = 4

again, ∠BAO = ∠DCO = 90°

∴ ΔBAO ~ ΔDCO

∴ AB/CD = AO/CO

  AB/1.8m = 3.6m/ 0.5m = AB = 12.96m

{ The reflection angle of a plane mirror is equal to the incidence angle, therefore, ∠2 = ∠3 }

What is an example of a word problem?

Word problems typically consist of mathematical modeling questions, in which records and records approximately a certain device is given and a pupil is needed to increase a version. for example, Jane had $five.00, then spent $2.00. How a lot does she have now?

Conclusion: you may use 3 common types of word problems-- part-part whole, separate and join and multiply and divide -- for everything from counting pennies to calculating a tip.

Learn more about Word Problems here https://brainly.com/question/13818690

#SPJ2