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Question
Use the information given to find the length of AB.
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Solution
From right triangle AQP
tan 30° = `"AQ"/"AP"`
`(1)/sqrt(3) = (10)/"AP"`
AP = `10xxsqrt3`
AP = 10 × 1.732
AP = 17.32
In ΔPBR
tan 45° = `"PB"/"BR"`
`1 = "PB"/(8)`
PB = 8
Therefore,
AB = AP + PB
= 17.32 + 8
= 25.32
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