Question

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

Answer 1

Answer:

A. 15

Step-by-step 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,

$\cos51=\frac{adjacent}{hypotenuse}$

i.e. $\cos51=\frac{a}{c}$

i.e. $0.6293=\frac{a}{23.5}$

i.e. $a=0.6293 \times 23.5$

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.