AD = √(40²-20²)
AD = 20√(3) units.
AE = DE = ½(AD)
= 10√(3) units.
Angle BED is;
= atan(20/(10√(3)))
= atan(⅔√(3))°
= 49.10660535087°
Angle DAC is;
= 30°
(EF)² = 300+625-20√(3)*25cos30
EF = 5√(7) units.
(5√(7)/sin30) = (25/sina)
a = 70.89339464913°
a is angle DEF.
Therefore required angle is;
Angle BED + Angle DEF
= 49.10660535087+70.89339464913
= 120°
We appreciate you contacting us. Our support will get back in touch with you soon!
Have a great day!
Please note that your query will be processed only if we find it relevant. Rest all requests will be ignored. If you need help with the website, please login to your dashboard and connect to support