From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.
1 answer:
<h3>Answer: 73</h3>
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Work Shown:
Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.
tan(angle) = opposite/adjacent
tan(A) = BC/AB
tan(37) = x/97
97*tan(37) = x
x = 97*tan(37)
x = 73.094742859971
For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.
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Answer:
C) The variable x represents the independent variable.
Step-by-step explanation:
The given function is .
g(x) is NOT the multiplication of g and x because g is a function of x.
is the input of the function.
is the output of the function.
The variable is called the independent variable because we plug in values of x to find g.
The variable g represents the output of the function NOT the input.
The correct choice is C
Given:
y is directly proportional to x.
when
To find:
The equation that connects y with x.
Solution:
It is given that, y is directly proportional to x. So,
...(i)
Where, k is the constant of proportionality.
We have, when
. Substituting these values in (i), we get
Divide both sides by 5.
Substituting in (i), we get
Therefore, the required equation is .