Answer:
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Step-by-step explanation:
Answer:
The lighthouse is 424 feet away.
Step-by-step explanation:
There is no other way to do this but to use one of the 6 trigonometry functions.
Drawing
Draw a dotted horizontal line.
judge an angle that could be 23o. Let it slant downward from the left side of the dotted line.
Draw another horizontal line that represents sea level.
Join the left side of the dotted line to the last line you drew. The angle on your right is also 23o.
Function
You have 6 trig functions to choose from. You have the lighthouse height (180 feet) the angle on your right, and the length on the horizontal representing the distance from the lighthouse base to the boat.
You have an angle
You have an opposite side
You have a horizontal line (the adjacent side)
You want to use the tangent function.
Tan(23) = opposite / ad
Tan(23) = 180 / adjacent Multiply both sides by the adjacent
adjacent*Tan(23)= 180 Divide by Tan(23)
adjacent = 180/Tan(23)
adjacent = 180 / 0.42447
adjacent = 424 feet.
The square root of the given fraction 121 / 49 will be 11 / 7.
A number y such that y² = x, or a number y whose square is x, is referred to as the square root of a number x in mathematics.
Given that in mathematics, a number r is said to be the nth root of a number x if it is raised to the power n.
The square root of the given number will be calculated as below:-
Square root = √( 121/49 )
Square root = 11 / 7
Therefore, the square root of the given fraction 121 / 49 will be 11 / 7.
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Find the slope of the line through
each pair of points.
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The difference between given two temperatures will be .
Temperature is the measure of hotness or coldness of something which is expressed in terms of several scales, including Fahrenheit and Celsius.
We have,
Temperature on the ground
Temperature in the air
So, the difference between temperatures Temperature in the air Temperature on the ground
The difference between temperatures
Hence, we can say that the difference between given two temperatures will be .
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