Question

For right triangle find the missing quantity indicated below express the angle in degrees and minutes not just degrees please and round your answer

Answer 1

To find the angle we will use the sine theorem, but first we will find the measure of the missing side:

`x^2=1325^2+2569^2`
`x=\sqrt[]{1325^2+2569^2}`
`x=\sqrt[]{8355386}^(\prime)\text{ }`

measure of angle B must be:

`\frac{sin\text{(B)}}{2569}=\frac{\sin (90^(\circ))}{\sqrt[]{8355386}}`
`\sin (B)=\frac{2569}{\sqrt[]{8355386}}`
`B=62.72^(\circ)`

Finally convert B to degrees and minutes:

`(1^(\circ))/(60^(\prime))=(0.72^(\circ))/(m^(\prime))`
`m^(\prime)=0.72\cdot60=43.2^(\prime)`
`B=62^(\circ)43.2^(\prime)\text{ }`