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Troyanec [42]
2 years ago
12

A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and

the bearing of C from A is 90, Find the bearing B frOm C
Mathematics
1 answer:
Elden [556K]2 years ago
7 0

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

20 \sqrt{10}

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