A round race track has a radius of 75 yards. What is the circumference of the race track?
2 answers:
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Answer:
The height of the tower = 420.48 meters
Step-by-step explanation:
For better understanding of the solution, see the figure attached below :
Let the height of the tower be x meters
Now, using the laws of reflection : angle of reflection = angle of incidence
Also, both the tower and the tourist are standing parallel to each other
⇒ ∠A = ∠i ( Alternate interior angles are equal)
Similarly, ∠D = ∠r ( Alternate interior angles)
But, ∠i = ∠r
⇒ ∠A = ∠D
Also, the tourist and the tower is perpendicular to the ground surface.
⇒ m∠B = m∠E = 90°
Now, in ΔABC and ΔDEC
∠A = ∠D (Proved above)
m∠B = m∠E = 90°
So, by AA postulate of similarity of triangles, ΔABC ~ ΔDEC
As the sides of similar triangles are proportional to each other
Hence, The height of the tower = 420.48 meters
We are given the length of AC and AB to be 20 and 6, respectively, so we can subtract 6 from 20 to find BC to be 14 cm.
The circumference of a circle is equal to
The answer is approximately 87.96 cm
The circumference of a circle is equal to
The answer is approximately 87.96 cm