Question

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2. A person who is 1.5 meters tall casts a shadow that is 8 meters long. The distance along the ground from the person (N) to the flagpole (G) is 32 meters. Find the height of the flagpole (FG) showing all calculations

Answer 1

Answer:

The height of the flagpole is 7.5 m

Step-by-step explanation:

In this problem

we know that

Triangles SPN and SFG are similar by AA Similarity Theorem

see the attached figure to better understand the problem

Remember that

If two figures are similar then the ratio of its corresponding sides is proportional

so

SN/SG=PN/FG

we have

SN=8 m

SG=SN+NG=8+32=40 m

PN=1.5 m

FG ----> the height of the flagpole

substitute the values and solve for FG

8/40=1.5/FG

Multiply in cross

FG(8)=40(1.5)

FG=40(1.5)/8

FG=7.5 m