Answer:
=> TS= 10.√3/3/1 = 10. √(3)/3
Explanation:
using Pythagoras theoriem:
in RQT: tan30° = RT/TQ
<=> tan30° . TQ = RT
=> √3/3 . 10 = 10.√3/3 = RT
in RST: tan45° = RT/TS
<=> TS = RT / tan45°
SQ=10+
Triangle QRT is a 30-60-90 triangle so QT/RT=
So RT=QT/ RT=10/
RT=(10)/3
triangle RTS is a 45-45-90 triangle so RT=ST
So ST=(10)/3
QT+ST=SQ
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