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Question 26 1 pts The angle of elevation from a boat to a cliff on land is 30°. If the cliff is 50 meters high, then what is the distance from the boat to the base of the cliff? Round your answer to the nearest tenth. 1 decimal place. Do not write anything but answer using no extra spaces.

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Solution

For this case we can do the following:

We can solve for the value of x using the following identity:

[tex]\tan 30=\frac{50}{x}[/tex]

Solving for x we got:

[tex]x=\frac{50}{\tan 30}=86.6[/tex]

Then the final answer would be:

86.6 m

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