MEmesTreAmidn
Answered

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One early afternoon, Dennis' shadow is 11 inches long. If Dennis is 60 inches tall, the distance between the top of his head and the end of the shadow is ___ inches.

Sagot :

Goyangiidn
Answer: 61 inches

Explanation:

Let the distance between the top of his head to the end of the shadow be d.

Dennis is standing perpendicular to the shadow. So the triangle formed is a right triangle.

Using the Pythagoras Theorem,
d^2 = 11^2 + 60^2
d^2 = 121 + 3600
d^2 = 3721
d = sqrt(3721)
d = 61 inches
Mikaylachantalmagpocidn

Answer:

61inches

Let the distance between the top of his head to the end of the shadow be d.

Dennis is standing perpendicular to the shadow. So the triangle formed is a right triangle.

Using the Pythagoras Theorem,

d^2 = 11^2 + 60^2

d^2 = 121 + 3600

d^2 = 3721

d = sqrt(3721)

d = 61 inches

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