Question

for a project in his geometry class, tariq uses a mirror on the ground to measure the height of his school’s flagpole. he walks a distance of 9.85 meters from the flagpole, then places a mirror flat on the ground, marked with an x at the center. he then walks 1.85 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the flagpole clearly marked in the x. his partner measures the distance from his eyes to the ground to be 1.35 meters. how tall is the flagpole? round your answer to the nearest hundredth of a meter. answer attempt 1 out of 3 input box m submit answer

Explanation:

Step1: Identify Similar Triangles

We have two right triangles: one formed by the flagpole (height \( h \), base 9.85 m) and one formed by Tariq's height (1.35 m, base 1.85 m). By the law of reflection, these triangles are similar.

Step2: Set Up Proportion

For similar triangles, \(\frac{h}{9.85}=\frac{1.35}{1.85}\).

Step3: Solve for \( h \)

Multiply both sides by 9.85: \( h = \frac{1.35\times9.85}{1.85} \).
Calculate numerator: \( 1.35\times9.85 = 13.2975 \).
Divide by 1.85: \( h=\frac{13.2975}{1.85}\approx7.19 \).

Answer:

\( 7.19 \)