Question

Hii,
can someone show me the steps of this question please?

Answer 1

=> 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°

=> TS= 10.√3/3/1 = 10. √(3)/3

Answer 2

SQ=10+
`(10√(3) )/3`

Explanation:

Triangle QRT is a 30-60-90 triangle so QT/RT=
`√(3)`

So RT=QT/
`√(3)` RT=10/
`√(3)`

RT=(10
`√(3)`)/3

triangle RTS is a 45-45-90 triangle so RT=ST

So ST=(10
`\sqrt{3\\`)/3

QT+ST=SQ

SQ=10+
`(10√(3) )/3`