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

h = 14.49 feet.

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 :

`\tan\theta=\frac{\text{Height}}{\text{Base}}\\\\\tan(46)=(h)/(14)\\\\h=\tan(46)* 14\\\\h=14.49\ ft`

So, the height of the main sail is 14.49 feet.