Find the value of x in the figure above
...
Find the value of x in the figure above
20\(\sqrt{3}\)cm
10\(\sqrt{3}\)cm
5\(\sqrt{3}\)cm
4\(\sqrt{3}\)cm
Correct answer is B
In the figure above, \(\frac{x}{\sin 60^o} = \frac{10}{\sin 30^o}\) (Sine rule)
x = \(\frac{10 \sin 60^o}{\sin 30^o}\)
= 10 x \(\frac{\sqrt{3}}{2} \times \frac{1}{2}\)
= 10 x \(\frac{\sqrt{3}}{2} \times \frac{2}{1}\)
= 10\(\sqrt{3}\)cm
Similar Questions
In the diagram, PQRS is a circle center O. PQR is a diameter and ∠PRQ = 40°. Calculate ∠QSR...
The nth term of a sequence is n2 - 6n - 4. Find the sum of the 3rd and 4th terms....
Convert 101.0112 to base 10...
If tan x = \(2\frac{2}{5}\), find the value of sin x; 0 \(\leq\) x \(\leq\) 90o...
Find y, if \(\begin{pmatrix}5 & -6 \\2 & -7\end{pmatrix}\begin{pmatrix}x \\ y \end...
An arc of length 22cm subtends an angle of θ at the center of the circle. What is the value of...
Without using table, solve the equation 8x-2 = \(\frac{2}{25}\)...
If the quadratic function 3x2 - 7x + R is a perfect square, find R...