From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the bo at, how high is the cliff (to the nearest foot)?
2 answers:
Check the picture below
now, <span>26°35' is just 26bdegrees and 35 minutes
your calculator most likely will have a button [ </span><span>° ' " ] to enter degrees and minutes and seconds
there are 60 minutes in 1 degree and 60 seconds in 1 minute
so.. you could also just convert the 35' to 35/60 degrees
so </span>
now, the angle is in degrees, thus, make sure your calculator is in Degree mode
Answer:
Step-by-step explanation:
It is given that From a boat on the lake, the angle of elevation to the top of a cliff is 26°35'. If the base of the cliff is 85 feet from the boat, thus using trigonometry, we have
Substituting the given values, we get
⇒
⇒
⇒
Therefore, the height of the cliff is 42.5 feet.
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