Q3 of 168 Page 4

A man goes 15 metres due west and then 8 metres due north. How far is he from the starting point?

Let the man starts walk from point A and finished at


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Point C.


∴ In ⊿ ABC


SO AC2=AB2+BC2


AC2=82+152


AC2=64+225


AC2=289


AC=


AC=17 m


The man is 17 m far from the starting point.


More from this chapter

All 168 →
1

If the sides of a triangle are 3 cm, 4 cm and 6 cm long, determine whether the triangle is a right-angled triangle.

 2

The sides of certain triangles are given below. Determine which of them are right triangles.

(i) a = 7 cm, b = 24 cm and c = 25 cm


(ii) a = 9 cm, b = 16 cm and c = 18 cm


(iii) a = 1.6 cm, b = 3.8 cm and c = 4 cm


(iv) a = 8 cm, b = 10 cm and c = 6 cm

 4

A ladder 17 m long reaches a window of a building 15 m above the ground. Find the distance of the foot of the ladder from the building.

 5

Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between their feet is 12 m, find the distance between their tops.