Answer: 212 feet
Have a look at the image shown below. On that image, I've marked key details to focus on. Namely, the bottom right triangle has the angle CAB equal to 27 degrees because of the congruent alternate interior angles. This is the reference angle we'll base everything off of.
Opposite this angle is the side BC = 108 which is the lighthouse height. Adjacent to this angle is AB = x which is unknown. The goal is to solve for x
Use the tangent rule
tan(angle) = opposite/adjacent
tan(angle CAB) = CB/AB
tan(27) = 108/x <--- substitution
x*tan(27) = 108 <--- multiply both sides by x
x = 108/tan(27) <--- divide both sides by tan(27)
x = 211.96 <-- see note below
x = 212
note: use a calculator that has the trig functions sine, cosine, etc. You'll use the tan function for tangent. Make sure your calculator is in degree mode. the result you get is approximate as shown above, which will round to 212 when rounding to the nearest whole number.
23* that are the good point yes sirrrrr
Both Amy and Laura increased their gas mileage in the first two weeks.
Option B is the correct answer.
The missing graph is attached with the answer.
<h3>What is a Graph ?</h3>
A graph is a statistical way of showing data , it is used to show relation between the points.
A graph is useful in understanding the nature of a function.
From the data given in the question
The statements that can be concluded is , Option B
Both Amy and Laura increased their gas mileage in the first two weeks.
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The simplification of square root 12 x is and the square root of 8 is
<h3>What is Surds?</h3>
Surds is a mathematical expression of numbers in square roots that cannot be changed to real numbers but be further simplified into irrational numbers.
From the given information.
The simplification of is:
The simplification of the is determined by factoring 8:
i.e.
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