Question

The top of a building is 65 meters away from a spot located 16 meters away from the foot of the building. What is the height of the building?

Answer 1

65^2-16^2=63^2 so 63 is your answer

Answer 2

The height of the building is 63m

Data;

• hypothenuse = 65m
• adjacent = 16m
• Opposite = x

Pythagorean Theorem

To solve this problem, we have to use Pythagorean theorem to find the missing side.

$hypothenuse^2 = adjacent^2 + opposite^2$

Let's substitute the values and solve

$65^2 = 16^2 + x^2 \\x^2 = 65^2 - 16^2 \\x^2 = 3969\\x = \sqrt{3969} \\x = 63$

The height of the building is 63m

Learn more on Pythagoras's theorem here;

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