taiwan-gsat 2009 Q5

taiwan-gsat · Other · gsat__math Sine and Cosine Rules Find a side or angle using the sine rule
5. Assume that the distances between towns A, B, and C are all equal to 20 kilometers. Two straight roads intersect at town D, one passing through towns A and B, and the other passing through town C. On an accurately scaled map, the angle between the two roads is measured to be $45^{\circ}$. Then the distance between towns C and D is approximately
(1) 24.5 kilometers
(2) 25 kilometers
(3) 25.5 kilometers
(4) 26 kilometers
(5) 26.5 kilometers
& 1 & & 16 & 2 & & 28 & 8
5. Assume that the distances between towns A, B, and C are all equal to 20 kilometers. Two straight roads intersect at town D, one passing through towns A and B, and the other passing through town C. On an accurately scaled map, the angle between the two roads is measured to be $45^{\circ}$. Then the distance between towns C and D is approximately\\
(1) 24.5 kilometers\\
(2) 25 kilometers\\
(3) 25.5 kilometers\\
(4) 26 kilometers\\
(5) 26.5 kilometers