The formula for the area of a circle is given by,
A = π r2
where π = 3.141 592 65 …
(a) Write π correct to:
(i) 4 decimal places. (ii) 2 decimal places. (b) Make r the subject of the formula.
The formula for the area of a circle is given by,
A = π r2
where π = 3.141 592 65 …
(a) Write π correct to:
(i) 4 decimal places. (ii) 2 decimal places. (b) Make r the subject of
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Step-by-step explanation:
Let BC be the building and AD be the tower.
Let the height of tower, AD be h m.
Angles of depression of the top D and the bottom A of the tower CB are 30° and 60° respectively.
∴ ∠CDE = 30°
∠CAB = 60°
Since, BC = 60 m.
∴ CE = (60 – h) m
Let AB = DE = x m
In ∆DEC,
In ∆CBA,
Equating equation (1) and (2),
⇒ 3 (60 – h) = 60
⇒ 180 – 3h) = 60
⇒ 180 – 60 = 3n
⇒ 120 = 3h
⇒ h = 40
Thus, the height of the tower is 40 m.
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