Find AD. (i) (ii)

Question

Find AD. (i)  (ii)

KnowledgeBoat · Accepted Answer

(i) From figure, BE = CD = 20 m and DE = CB = 5 m. In △ABE, AD = AE + DE = 12.498 + 5 = 17.498 ≈ 17.5 m. Hence, AD = 17.5 meters. (ii) We know that, An exterior angle is equal to the sum of two opposite interior angles. ∴ ∠ACD = ∠ABC + ∠BAC Also, ∠ABC = ∠BAC (As, angles opposite to equal sides are equal) ∴ ∠ACD = 2∠ABC ⇒ 2∠ABC = 48° ⇒ ∠ABC = 24°. In △ABD, Hence, AD = 12.20 meters.

Mathematics

Find AD.
(i)
(ii)

Heights & Distances

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