Question

Solve for x to the nearest tenth

Answer 1

………………………………………………………………..

Answer 2

9.85 units

Explanation:

Rounding to the nearest hundredth means rounding or correcting to two decimal places

Form a right-angled triangle where

One leg side of the triangle = opposite side (opp) = perpendicular

= 9 units

Other leg side of the triangle = adjacent side (adj) = base

=
`(14 - 10)` units

= 4 units

Slanted height = Hypotenuse

=
`x` units

Since this is a right-angled, x can be calculated using the Pythagorean Theorem:

`hyp^(2) = opp^(2) + adj^(2)`

`x^(2) = 9^(2) + 4^(2)`

`= 81 + 16`

=
`97`

Square root has to be applied to get rid of the square:

∴ x =
`√(97)` units

= 9.848 units
∴x = 9.85 units (Rounded off to the nearest hundredth)