Question

Can someone help me on 6?

Answer 1

30√74 ft or 258.070 ft rounded to three decimal places.

Explanation:

To find the length of a diagonal, add the square of the width and the square of the length together and find the square root of the sum.

d = √210² + 150²

d = √44100 + 22500

d = √66600

d = 258.069758 ft (This is the answer I got in six decimal places. Rounding it to three, as it says in the question, would be 258.07 ft, as 7 is greater than 5 (the third digit was 9 by the way).)

An exact answer to that, in radical form, is 30√74 ft.

Answer 2

66600 ft

Explanation:

First draw a rectangle and draw a diagonal line in the middle. The line makes two triangles, and the line itself is the hypotenuse. So, to find hypotenuse, the formula is:

a^2 + b^2 = c^2

The variable c defines the hypotenuse. Therefore:

a = 150

b = 210

Let's solve:

150^2 + 210^2 = c^2

22500 + 44100 = c^2

66600 = c^2

Therefore, in conclusion, the result we are getting is 66600 ft.

Hope This Helps!