Question

$$H= \frac{ { 25 }^{ 2 } \sin { 30 }^{ 2 } }{ 2 \times 10 }$$

Answer

$$H=(125*sin(30)^2)/4$$

Solution


Simplify  \({25}^{2}\)  to  \(625\).
\[H=\frac{625\sin^{2}30}{2\times 10}\]
Simplify  \(2\times 10\)  to  \(20\).
\[H=\frac{625\sin^{2}30}{20}\]
Simplify  \(\frac{625\sin^{2}30}{20}\)  to  \(\frac{125\sin^{2}30}{4}\).
\[H=\frac{125\sin^{2}30}{4}\]

Decimal Form: 30.506453