Question

i need help on a question

Answer 1

Solution

For this case we can do the following:

a+ b= 15

$\cos 60=\frac{a}{x},\sin 60=\frac{y}{x}$$\cos 30=\frac{b}{z},\sin 30=\frac{y}{z}$$\tan 60=\frac{y}{a},\tan 30=\frac{y}{b}$$\frac{\tan 60}{\tan 30}=\frac{b}{a}$

b=3a

Replacing in the first equation we got:

a + 3a = 15

4a = 15

a = 15/4

b= 45/4

Then we can find the value of y on the following way:

y= a *tan 60 = 15/4 * tan 60

$y=\frac{15\sqrt[]{3}}{4}$