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 hel

Question

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?
5.7 km
6.3 km
11.4 km
16.0 km

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Calantha 5 years 2021-07-21T15:38:52+00:00 2 Answers 101 views 0

Answers ( )

  1. thuhuong
    0
    2021-07-21T15:40:09+00:00
    Reply

    Answer:

    The first option     (5.7km)

    Step-by-step explanation:

    Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so…

    (Based on the Pathagoras Theorem)

    c^{2} = a^{2} + b^{2}

    9^{2} = 7^{2} + d^{2}

    d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\

    d ≈ 5.7km

    There for aproximate distance across the lake is equal to 5.7km

  2. Dau
    0
    2021-07-21T15:40:19+00:00
    Reply

    Answer:

    A

    Step-by-step explanation:

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