Question

A rope from the top of a mast on a sailboat is attached to a point 19 feet from the mast. If the
rope is 28 feet long, how tall is the mast? Round to the nearest tenth of a foot.

Answer 1

do you know how you use the pythagros theorem

Answer 2

I got it thank you

Answer 3

Let h stand for mast height.

We've been told that a sailboat's top mast is connected to a point 19 feet down. The length of the rope is 28 feet. We've been given the task of determining the mast's height.

As seen in the connection, the mast would form a right triangle with the rope and sailboat.

Now we'll solve for h using Pythagoras' theorem:

h2 = 282-192 h2 = 282-192 h2 = 282-192 h2 = 2

784-361 h2

423 h2

We will now take the positive square root of both sides as follows:

h2=423

h=20.56696380; h=20.56696380; h=20.5

When we round to the nearest tenth of a foot, we get:

20.6

As a result, the mast is about 20.6 feet long.

Answer 4

But I actually got another queston