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

in progress 0
Calantha 6 months 2021-07-21T15:38:52+00:00 2 Answers 29 views 0

Answers ( )

    0
    2021-07-21T15:40:09+00:00

    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

    0
    2021-07-21T15:40:19+00:00

    Answer:

    A

    Step-by-step explanation:

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )