how do you solve these trig question?
i'm having major issues remembering how to do these problems and they are for a final and test. please help explain them to me
10 points to the best answer!! (once you explain how that works^_^)
the first is :
a 30-meter line is use to tether a helium filled balloon. because of a breeze,the line makes an angle of approx. 75 degrees with the ground. what is the height of the balloon?
the other is :
claire is standing on top of a 30 ft look out on shore keeping an eye on a cruise ship that is in the harbor docked. if she is looking at the ship at an angle on depression of 12 degrees when the ship stops , how far do the passengers of the ship have to ride the ferry to the dock
1.
The 30 meters forms the hypoteneuse, or slanted, longest side of the triangle. You want to find the height. The 75 degrees can be used to find the height. Since sine = length of opposite side / length of hypoteneuse, sin (75) = x / 30
To solve, rewrite as 30 sin (75) = x
Do it in your calculator. It should be about 28.977 meters.
2.
Is there some information missing from this one, because if the ship is docked, they don't have to travel anywhere?
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