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For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the height of his school’s flagpole. He walks a distance of 8.25 meters from the flagpole, then places a mirror flat on the ground, marked with an X at the center. He then walks 2.25 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 1.25 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.

Sagot :

felipesierra213

Answer:

height = 4.58

The flagpole is 4.58 meters tall

Step-by-step explanation:

As shown in the figure, the two triangles are similar

So, you do: height of the flagpole/1.25 = 8.25/2.25

h = height of the flagpole

Step 1: Cross-multiply

h/1.25 = 8.25/2.25

h × (2.25) = (8.25) × (1.25)

2.25h = 10.3125

Step 2: Divide both sides by 2.25

2.25h/2.25 = 10.3125/2.25

h = 4.583333

but since we need to round the answer, the rounded answer would be:

4.58m

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