Question

An observer is standing 30 feet from a hlagpole. She is lookingat the top of the flagpole. How tall is the flagpole. Round tothe nearest tenth if necessary.

Answer 1

Flagpole is 21.7ft tall

Step-by-step explanation:

From the diagram given:

opposite = x

adjacent = 30 ft

hypotenuse = 37 ft

Using pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

37² = x² + 30²

1369 = x² + 900

1369 - 900 = x²

x² = 469

x = √469

x = 21.66 ft

To the nearest tenth, x is 21.7 ft

Flagpole is 21.7ft tall