Solve (65*sin35^circ)^2/2*9.8

$$\frac { ( 65 \times \sin 35 ^ { \circ } ) ^ { 2 } } { 2 \times 9.8 }$$

Evaluate

$$\frac{13899824472245243356355338676401}{196000000000000000000000000000}\approx 70.917471797$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(65 \cdot 0.573576436351046)} ^ {2}}{2 \cdot 9.8}$$

Multiply 65 and 0.573576436351046 to get 37.28246836281799.

$$\frac{37.28246836281799^{2}}{2\times 9.8}$$

Calculate 37.28246836281799 to the power of 2 and get 1389.9824472245243356355338676401.

$$\frac{1389.9824472245243356355338676401}{2\times 9.8}$$

Multiply 2 and 9.8 to get 19.6.

$$\frac{1389.9824472245243356355338676401}{19.6}$$

Expand \frac{1389.9824472245243356355338676401}{19.6} by multiplying both numerator and the denominator by 10000000000000000000000000000.

$$\frac{13899824472245243356355338676401}{196000000000000000000000000000}$$

Factor

$$\frac{13 ^ {2} \cdot 421 ^ {2} \cdot 25943 ^ {2} \cdot 26257841 ^ {2}}{2 ^ {29} \cdot 5 ^ {27} \cdot 7 ^ {2}} = 70\frac{1.7982447224524039 \times 10^{29}}{1.9600000000000004 \times 10^{29}} = 70.9174717971696$$