Question

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Answer 1

Answer:

13.1 (3sf)

Step-by-step explanation:

14 ^2 - 5^2 = 171

root 171 = 13.1 (3sf)

Answer 2

Answer:

x = 13.08 ft

Step-by-step explanation:

We need to use pythagoras theorem as this is a right angled triangle:

$a^2 + b^2 = c^2$

As we do not know one of the sides, we need to change the subject of the equation to either a or b:

$b^2 = c^2 - a^2$

Substitute the values in:

$b^2 = 14^2 - 5^2$

$b^2 = 196- 25\\b^2 = 171$

Now square root both sides to find b:

$\sqrt{b^2} = \sqrt{171}$

b = $\sqrt{171}$

b = 13.08

x = 13.08 ft

Hope this helps!