Lutasin ang sqrt{{left(80/2-30sin(22.5)right)}^2}+{left(100/2-30cos(22.5)right)}^2+60^2

$$\sqrt{ { \left( \frac{ 80 }{ 2 } -30 \sin ( 22.5 ) \right) }^{ 2 } } + { \left( \frac{ 100 }{ 2 } -30 \cos ( 22.5 ) \right) }^{ 2 } + { 60 }^{ 2 }$$

I-evaluate

$$4125.078951029133498640156600637201$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$\sqrt{{(\frac{80}{2} - 30 \cdot 0.3826834323650898)} ^ {2}} + {(\frac{100}{2} - 30 \cdot 0.9238795325112867)} ^ {2} + {(60)} ^ {2}$$

I-divide ang 80 gamit ang 2 para makuha ang 40.

$$\sqrt{\left(40-30\times 0.3826834323650898\right)^{2}}+\left(\frac{100}{2}-30\times 0.9238795325112867\right)^{2}+60^{2}$$

I-multiply ang 30 at 0.3826834323650898 para makuha ang 11.480502970952694.

$$\sqrt{\left(40-11.480502970952694\right)^{2}}+\left(\frac{100}{2}-30\times 0.9238795325112867\right)^{2}+60^{2}$$

I-subtract ang 11.480502970952694 mula sa 40 para makuha ang 28.519497029047306.

$$\sqrt{28.519497029047306^{2}}+\left(\frac{100}{2}-30\times 0.9238795325112867\right)^{2}+60^{2}$$

Kalkulahin ang 28.519497029047306 sa power ng 2 at kunin ang 813.361710789838113493909985857636.

$$\sqrt{813.361710789838113493909985857636}+\left(\frac{100}{2}-30\times 0.9238795325112867\right)^{2}+60^{2}$$

Kalkulahin ang square root ng 813.361710789838113493909985857636 at makuha ang 28.519497029047306.

$$28.519497029047306+\left(\frac{100}{2}-30\times 0.9238795325112867\right)^{2}+60^{2}$$

I-divide ang 100 gamit ang 2 para makuha ang 50.

$$28.519497029047306+\left(50-30\times 0.9238795325112867\right)^{2}+60^{2}$$

I-multiply ang 30 at 0.9238795325112867 para makuha ang 27.716385975338601.

$$28.519497029047306+\left(50-27.716385975338601\right)^{2}+60^{2}$$

I-subtract ang 27.716385975338601 mula sa 50 para makuha ang 22.283614024661399.

$$28.519497029047306+22.283614024661399^{2}+60^{2}$$

Kalkulahin ang 22.283614024661399 sa power ng 2 at kunin ang 496.559454000086192640156600637201.

$$28.519497029047306+496.559454000086192640156600637201+60^{2}$$

Idagdag ang 28.519497029047306 at 496.559454000086192640156600637201 para makuha ang 525.078951029133498640156600637201.

$$525.078951029133498640156600637201+60^{2}$$

Kalkulahin ang 60 sa power ng 2 at kunin ang 3600.

$$525.078951029133498640156600637201+3600$$

Idagdag ang 525.078951029133498640156600637201 at 3600 para makuha ang 4125.078951029133498640156600637201.

$$4125.078951029133498640156600637201$$