Question

16.
Two trees, A and B are on the same side of a river. From a point C in the river the
distance of the trees A and B is 250 m and 300 m, respectively. If the angle C is
45°, find the distance between the trees (use 2 = 1.44). (Ans. 215.5 m)​

Answer 1

1. Question⇒ Two trees, A and B are on the same side of a river. From a point C in the river the  distance of the trees A and B is 250 m and 300 m, respectively. If the angle C is  45°, find the distance between the trees (use 2 = 1.44).

Step-by-step explanation:

• In ΔABC 
• ∠C = 45
• AC = 250 m
• BC = 300m
• by applying the cosine rule 
• a²= b² + c² - 2bc cos A
• so,
• AB² = AC² + BC² - 2 AC BC cos C
• = 250² + 300² - 2 x 250 x 300 x cos 45
• AB²= 46433.98
• taking under root
• AB = 215.5 m