Precalculus II Leaning Tower of Term Paper

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How many paces is the treasure from the palm tree?

Here's the catch! When you went to dig the treasure, it wasn't there. What happened? Where is the treasure?

SOLUTION:

In the triangle ABC, BC can be found as:

BC=AB* sin

A

BC=70*0.6427

BC?45

AC=?(AB^2-BC^2)

AC=53.6

DC can be found from triangle BCD:

DC=?(DB^2-BC^2)

DC=21.8

AD=DC+AC

AD=75.4

EA can be found from triangle ACE:

EA=?(AC^2+CE^2)

EA?54

Answer: treasure can be either in point E. which is 54 paces from palm tree or in point D. which is 75.4 paces from the palm tree

Part III: Create an Original Identity

Use the fundamental identities to create an original identity. Create an original identity that requires the use of multiple fundamental identities and creative algebraic steps.

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Verify that this is an identity.

Original Identity:

We can prove it using fundamental identity:

Part IV: Playing Catch

You are playing catch with a friend located 100 feet away. If you throw the ball with an initial velocity of vo = 90 feet per second, at what approximate angle of elevation ? should you direct your throw so that it can be caught easily? Use the formula, where'd is the horizontal distance that the ball travels. Is there more than one answer?

Solution:

knowing that sin? =cos (0.5?-?) we can find that another angle at which ball can travel equals to Answer: equals to 78.37 or 11.63 degrees

Precalculus II

60°

123 ft.....

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