Question

Find the length of the diagonal of this rectangle.

Answer 1

cos 32 = 10 / AC
AC = 10 / cos 32

= 11.79 m ( to nearest hundredth)

Answer 2

The length of the diagonal of the given Rectangle is, 11.80 m (Approx.)

Explanation:

In Rectangle:

* It is a four sided shape where every angle is a right angle.

* The alternative sides are equal.

*Two axes of symmetry bisect each other.

* Diagonals are equal in length.

The figure of rectangle has given the length
`l` = 10m

In right angle triangle ADC.

DC = 10 m ( as alternative sides are equal )

Note that we are given here the adjacent and we have to find the length of hypotenuse, then we use trigonometric ratio that contains both sides adjacent and hypotenuse.

Use:
`Cosine = (Adjacent)/(hypotenuse)`

then,

`\cos 32^(\circ) = (10)/(AC)` or

`Ac = (10)/(\cos 32^(\circ)) =(10)/(0.8480481)`

On simplify we get;

AC = 11.791784 m

therefore, the length of the diagonal of this rectangle (AC) is, 11.80 m (Approx)