Can you convert radians to degrees by replacing pi with 180
1 answer:
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Answer:
The length of the statue's arm is<u> 26.22 ft.</u>
Step-by-step explanation:
Let the length of the statue's arm be 'x'.
Given:
Height of statue is,
Height of male is,
Length of the male's arm is,
Now, as the size of Sam Houston's statue is proportional to that of an adult male, therefore, their heights and arm lengths will also be in proportion. So,
Now, plug in the given values and solve for 'x'.
Therefore, the length of the statue's arm is 26.22 ft
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.