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.)​

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 class=

Respuesta :

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.