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,
[tex]\cos51=\frac{adjacent}{hypotenuse}[/tex]
i.e. [tex]\cos51=\frac{a}{c}[/tex]
i.e. [tex]0.6293=\frac{a}{23.5}[/tex]
i.e. [tex]a=0.6293 \times 23.5[/tex]
i.e. [tex]a=14.8[/tex]
So, the value of a = 14.8.
Hence, the nearest whole number to 14.8 is 15 i.e. a = 15.
