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:
h = 14.49 feet.
Step-by-step explanation:
From the attached figure,
Base = 14 ft
Height = h
Angle = 46°
We need to find the height of the main sail. To find it we can use trigonometry.
The relation between height, base and angle is given by :
[tex]\tan\theta=\dfrac{\text{Height}}{\text{Base}}\\\\\tan(46)=\dfrac{h}{14}\\\\h=\tan(46)\times 14\\\\h=14.49\ ft[/tex]
So, the height of the main sail is 14.49 feet.