Answer:
a) x = 54/tan(theta)
b) theta = arctan(54/x)
Step-by-step explanation:
a) The tangent ratio is the ratio of the side opposite an acute angle in a right triangle to the adjacent side. For the angle of elevation, the adjacent side is the distance x to the flagpole. The side opposite is the 54-foot difference between the top of the man's head and the top of the flagpole. So, we have ...
tan(theta) = 54/x
Solving for x gives ...
x = 54/tan(theta)
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b) Solving the first equation in the previous part for theta involves the inverse tangent function:
theta = arctan(54/x)
12. hope that helps you with your homework
Solution:
Rewriting input as fractions if necessary:
1/10, 3/4, 1/2
For the denominators (10, 4, 2) the least common multiple (LCM) is 20.
Therefore, the least common denominator (LCD) is 20.
1.925
Explaining:to write 77/40 as a decimal you have to divide the numerator by the denominator of the fraction.We divide now 77 by 40 what we write down as 77/40 and we get 1.925
