Question

the main sailboat has the dimensions shown in figure at the right . what is the height of the main sail? Then round to the nearest tenth as needed .)​

Answer 1

Answer: h = 14.5 ft

Step-by-step explanation: Since it is given angles and side and it wants a side, let's use Law of Sines, which is formulated as

                                           $\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}$

i.e., the ratio of a side and the sin of its opposite angle is constant.

So, for this triangle, height is

$\frac{sin46}{h} =\frac{sin44}{14}$

$h=\frac{14sin46}{sin44}$

$h=\frac{10.07}{0.69}$

h = 14.51

Height of the main sail rounded to the nearest tenth is 14.5 ft.