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Question
Find the value of 'y' if `sqrt(3)` = 1.723.
Given your answer correct to 2 decimal places.
Solution
In right ΔPRS,
tan45° = `"PR"/"RS"`
⇒ 1 = `"PR"/(12)`
⇒ PR = 12
In right ΔQRS,
tan30° = `"QR"/"RS"`
⇒ `(1)/sqrt(3) = "QR"/(12)`
⇒ QR = `(12)/sqrt(3)`
Now,
y = PQ
= PR - QR
= `12 - (12)/sqrt(3)`
= `12 - (12)/(1.732)`
= 12 - 6.93
= 5.07.
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