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3 years ago

PLEASE HELP!!!!! i am desperate.

Mathematics

1 answer:

ryzh [129]3 years ago

6 0

Answer:

A) x = 11 tan 49°

B) 12.7 inches

C) 14.7 inches

Step-by-step explanation:

(refer to attached for reference)

Let the length of the vertical side of the triangular sail be x

recall that for right angle triangle, the following trigonometric relation applies:

tan θ = length of opposite side / length of adjacent side

in our case,

θ = 49°

length of adjacent side = 11 inches

length of opposite side = length of vertical edge of sail = x (which we defined above)

hence we can assemble our formula

tan 49° = x / 11 (rearranging)

x = 11 tan 49° (Answer for A)

Using a calculator to solve this gives

x = 12.65 inches

x = 12.7 inches (to nearest tenth) (Answer for B)

The height of the mast is merely the height of the sail plus the 2" length of mast extending below the sail.

Mast height = 12.7" + 2" = 14.7" (Answer for C)

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