Question

I need help with both of these questions.

1. Find the length of side b to two decimal places.

2. Find the length of side a to two decimal places.

Answer 1

1) b=14.34 units.

2) a=20.48 units

Explanation:

since, the triangle is a right angled triangle so we can use the trignometric identity in order to find the values of a and b.

let the base be denoted by 'B'.

height or perpendicular side of the triangle be denoted by 'P'.

and hypotenuse of the triangle be denoted by 'H'.

then using sine and cosine trignometric identity we have:

`\sin x=(P)/(H)`

and
`\cos x=(B)/(H)`

Here x=35°

and H=25 units , P=b and B=a

Hence
`\sin 35=(b)/(25)`

as
`\sin 35=0.573576`

hence, b=14.3394 units.

also
`\cos35=(a)/(25)`

and
`\cos35=0.819152`

Hence a=20.4788 units

In two decimal places we could represent it as:

a=20.48 units

and b=14.34 units.