2 people are 250m apart. The angles of elevation to a cloud directly between then are 30 degrees and 40 degrees What is the height of the cloud 1 decimal place?

Answer 1

If you make a triangle from person A, person B and the cloud C The angle at A is #30^@#, the angle at B is #40^@# so the angle at C is #110^@# The length of AB is 250 m so using the sine rule

#a/[sin A]=c/[sin C]#

#a/[sin 30]=250/[sin 110]#

#a=sin 30 xx 250/[sin 110]#

#a=133.0222216# m

To find the height we use trigonometry

#sin theta=[opp]/[hyp]#

#sin 30 =[height]/a#

height is 66.51111078

66.5 m to 1 d.p.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.