Question

Given the following triangle, if c = 23.5 and m B = 51°, find a to the nearest whole number

15
18
29

Answer 1

A. 15

Explanation:

We are given a right angles triangle with hypotenuse length (c) = 23.5 and ∠B = 51°.

Now, using the trigonometric forms of a right angled triangle, we get,

`\cos51=(adjacent)/(hypotenuse)`

i.e.
`\cos51=(a)/(c)`

i.e.
`0.6293=(a)/(23.5)`

i.e.
`a=0.6293 * 23.5`

i.e.
`a=14.8`

So, the value of a = 14.8.

Hence, the nearest whole number to 14.8 is 15 i.e. a = 15.