4) (Assume AR is tangent)Given: AR 12SR - 7.7Find: cs (Round to nearest tenth.)
1 answer:
The length of CS is 11.0
Explanation:
Given that the length of the tangent AR is 12
The length of SR is 7.7
To find: The length of CS
The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."
Applying the tangent secant theorem, we have,
Rewriting the above equation, we get,
Substituting the values, we get,
Simplifying, we have,
Subtracting both sides by 59.29, we get,
Dividing both sides by 7.7, we have,
Rounding off to the nearest tenth, we get,
Thus, the length of CS is 11.0
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Answer:
The length of her second displacement = 247.12 m.
The direction of her second displacement = 31.24° from west.
Step-by-step explanation:
As per the question,
From the figure as drawn below,
Let the starting point be O. After running 140 m due west, she reached at point A.
∴ OA = 140 m
And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.
∴ OP = 374 m
We have to find the distance AP = x.
By using the cosine rule in triangle OAP
After putting the given value, we get
∴ x = 247.12 m
Hence,the length of her second displacement = 247.12 m.
Again,
By using the cosine rule in triangle OAP, we get
After putting the given value, we get
∴ α = 148.759°
Hence, the direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.
