Mathematics: You are building a model sailboat. The plans show that the base of the main sail is 9 cm, the bottom acute angle in the sail is 52°, and the distance between the base of the sail and the deck is 2 cm. What is the height of the mast? a. 12.5 cm b. 11.2 cm c. 13.5 cm d. 11.5 cm

You are building a model sailboat. The plans show

ella3714

29.01.2022

c. 13.5 cm

Step-by-step explanation:

In the right triangle formed by the main sail.

Using the trigonometric function

$\tan \theta =\dfrac{\text{Opposite}}{\text{Adjacent}} \\\tan 52^\circ =\dfrac{x}{9} \\x=9 \times \tan 52^\circ\\x=11.52$ cm$

Therefore:

Height of the mast = 2+11.5=13.5 cm

The height of the mast is 13.5 cm.

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olamagdziak2007

14.05.2020

$f(x) = 3 (x+1)^{2}$

Step-by-step explanation:

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