What is the value of ((60)^2*sin(30))/(9.8) ?

The value of ((60)^2*sin(30))/(9.8) is 9000/49

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((60)^2*sin(30))/(9.8)

\frac{( 60 ) ^{2} \cdot sin ( 3 0 ^{\circ} )}{9.8}

\frac{9000}{49}

Decimal

183.67346 \dots

Solution steps

\frac{( 60 ) ^{2} sin ( 3 0 ^{\circ} )}{9.8}

= \frac{6 0 ^{2} sin ( 3 0 ^{\circ} )}{\frac{49}{5}}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= \frac{1}{2}

= \frac{6 0 ^{2} \cdot \frac{1}{2}}{\frac{49}{5}}

Simplify

\frac{6 0 ^{2} \cdot \frac{1}{2}}{\frac{49}{5}} : \frac{9000}{49}

\frac{6 0 ^{2} \cdot \frac{1}{2}}{\frac{49}{5}}

Apply the fraction rule:

\frac{a}{\frac{b}{c}} = \frac{a \cdot c}{b}

= \frac{6 0 ^{2} \cdot \frac{1}{2} \cdot 5}{49}

6 0^{2} \cdot \frac{1}{2} \cdot 5 = 18000 \cdot \frac{1}{2}

6 0^{2} \cdot \frac{1}{2} \cdot 5

6 0^{2} = 3600

= 3600 \cdot 5 \cdot \frac{1}{2}

Multiply the numbers:

3600 \cdot 5 = 18000

= 18000 \cdot \frac{1}{2}

= \frac{18000 \cdot \frac{1}{2}}{49}

Multiply

18000 \cdot \frac{1}{2} : 9000

18000 \cdot \frac{1}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 18000}{2}

Multiply the numbers:

1 \cdot 18000 = 18000

= \frac{18000}{2}

Divide the numbers:

\frac{18000}{2} = 9000

= 9000

= \frac{9000}{49}

= \frac{9000}{49}

What is the value of ((60)^2*sin(30))/(9.8) ?
The value of ((60)^2*sin(30))/(9.8) is 9000/49