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SAT Math: Trigonometry 2

1.
How tall is the lamp post?
2. If \sin a = \dfrac{12}{13} and \cos a = \dfrac{5}{13}, what is \tan a?
3.
A ladder 8 feet long leans against a building and makes a 71 \textdegree angle with the ground. How high up the building does the ladder reach?
4.
Jack sees a balloon tied to a lamppost 1.3 meters from him. The angle between the lamppost and Jack is 57 \textdegree. How many meters high is the balloon?
5. \sin (a \textdegree) = \cos (b \textdegree). If a=3c-16 and b=7c+4, what is the value of b?
6. If 0 \textdegree \textless x \textdegree \textless 90 \textdegree and \cos x = \dfrac{\sqrt{3}}{2}, what is \sin x?

 

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