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Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this diagram to help him.

A right triangle with side length 7 kilometers, d, and hypotenuse of 9 kilometers.

What is the approximate distance across the lake, to the nearest tenth of a kilometer?
A: 5.7 km
B: 6.3 km
C: 11.4 km
D: 16.0 km

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Respuesta :

Answer:

A

Step-by-step explanation:

adioabiola

The approximate distance across the lake, to the nearest tenth of a kilometer is 5.7 kilometers.

How to solve a right angle triangle?

  • Hypotenuse = 9 kilometers
  • Side length = 7 kilometers
  • d = ?

The formula for a right triangle is given by;

hypotenuse² = opposite² + adjacent²

9² = 7² + d²

81 - 49 = d²

d² = 32

  • find the square root of both sides

d = √32

d = 5.65685424949238

Approximately,

d = 5.7 kilometers

Learn more about right angle triangle:

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