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)
__
b) Solving the first equation in the previous part for theta involves the inverse tangent function:
theta = arctan(54/x)
Answer:
Each side is 35.78 mm
Step-by-step explanation:
A square would have 4 equal sides. Since area of a square is x^2, where x is one side, we can write:
x^2 = 1280
x = 35.78 mm
Each side is 35.78 mm
Answer:
X=24 Z=110
Step-by-step explanation: correct me if im wrong because im not 100% sure.
Answer:
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Answer:
see below
Step-by-step explanation:
The overbar on decimal digits means they repeat forever.
Any fraction with a denominator consisting of powers of 2 and/or 5 will terminate. These can be converted to decimal by multiplying the fraction by a number to make the denominator an appropriate power of ten.
1 2/3 = 1.66666666666... repeating
1 3/5 = 1 (3·2)/(5·2) = 1 6/10 = 1.6
1 1/4 = 1 (1·25)/(4·25) = 1 25/100 = 1.25
1 33/50 = 1 (33·2)/(50·2) = 1 66/100 = 1.66
Of course, your calculator can tell you the decimal equivalents, too.
