ants can hear each other upto range of 2m. An ant at A, 1m 4m wall sees her frnd at B(on wall)about to be eaten byspider. if /_of elevation of B from A is 62,

Question

'll spider have meal or not? (assume B escapes if he hears A calling)

 

mathematics of IGCSE

Answer 1

If I understand this problem correctly, ant A is 1m from a wall which is 4m in height. Ant B is somewhere on the wall. The line of sight from ant A to ant B is an angle of 62^o. The triangle formed here is a right triangle with an hypotenuse c.

 

If this understanding is correct, then the place on the wall where ant B is located will be given by tangent 62^o = 1m ÷ c; 0.46947 = 1m ÷ c

The hypotenuse c equals 1m ÷ 0.46947 = 2.13m

 

So, ant B is too far away to hear the call from ant A