From a boat on the lake, the angle of elevation to the top of a cliff is 24 degrees 19'. If the base of the cliff is 2994 feet f
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Answer:
0.3425 = 34.25% probability it will be off probation in February 2020
Step-by-step explanation:
We have these desired outcomes:
Off probation in July 2019, with 0.25 probability, then continuing off in January, with 1 - 0.08 = 0.92 probability.
Still in probation in July 2019, with 1 - 0.25 = 0.75 probability, then coming off in January, with 0.15 probability.
What is the probability it will be off probation in February 2020?
0.3425 = 34.25% probability it will be off probation in February 2020
So we can set up a right triangle in this situation with one of the legs being 21.4m and the height being 15m. Then we can use trigonometric formulas to find the angle of elevation of the sun.
Since we have the dimensions for the opposite and the adjacent sides, we can use the trigonometric function tangent to find the angle:
So let's plug this in:
However this is in radians - to convert to degrees, we must use the formula:
So then let's solve for degrees:
So now we know that the angle of elevation is 67.89°.