Solve 2*61.55*cos20^circ/2.5=

$$\frac { 2 \times 61.55 \times \cos 20 ^ { \circ } } { 2.5 } =$$

Evaluate

$$46.270464647498129616$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 61.55 \cdot 0.9396926207859084}{2.5}$$

Multiply 2 and 61.55 to get 123.1.

$$\frac{123.1\times 0.9396926207859084}{2.5}$$

Multiply 123.1 and 0.9396926207859084 to get 115.67616161874532404.

$$\frac{115.67616161874532404}{2.5}$$

Expand \frac{115.67616161874532404}{2.5} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{11567616161874532404}{250000000000000000}$$

Reduce the fraction \frac{11567616161874532404}{250000000000000000} to lowest terms by extracting and canceling out 4.

$$\frac{2891904040468633101}{62500000000000000}$$

Factor

$$\frac{3 \cdot 587 \cdot 1231 \cdot 1334032681411}{2 ^ {14} \cdot 5 ^ {18}} = 46\frac{16904040468633088}{62500000000000000} = 46.27046464749813$$