Question

X, Y and Z are three points on a map. Y is 43km and on a bearing of 041° from X. Z is 67km and on a bearing of 117° from X. Calculate the distance between Y and Z rounded to 1 DP

Answer 1

Answer:

70.3km

Step-by-step explanation:

When the bearings are visualized and the points connected as a triangle, The angle x would be the difference of the both bearings from x

i.e 117-41 = 76

Using cosine rule,

YZ²= 43² + 67² - 2 x 43 x 67

cos76

YZ= √4944

= 70.3