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EXPLANATION = BRAINLIEST & FIVE STARS

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.

Respuesta :

goyangi
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
mikaylachantalmagpoc

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