Question

Find the length of a rectangle if its diagonal is 34 cm long and the angle the diagonal makes with the length is 27° 50'. (answer correct to the nearest centimetr)

Thank you so much

Could you be so nice and explain me ho I will count 27° 50'?

Answer 1

a degree of angle is made up of 60 minutes (symbol is '. and each minute of angle is made up of 60 seconds (symbol is ")

so 26° 50' = (27 + 50/60) = 27.83333... °

(My calculator has a key labeled D°M'S
which can be used to do calculations in time measurements and degree measurements.
Unfortunately, no country has yet gone "metric" in the measurement of time or angles, unlike other measurements where the US is the only major holdout not to go metric)
to enter 27° 50', I enter
27
D°M'S
50
=
and I get 27°50'00.00

Back to your question....
make a sketch, label the length x
then cos 27.833333= x/34
x = 34cos27°50' (try entering it that way)
= 30.067
= 30 cm to the nearest cm