Helen stands 66 m away from the base of the tree. If the line of sight makes an angle of 30 with the top of the tree with respect to the horizon. What is the height (h) of the tree?

2 answers

h= 66 root 3 or 66 multiplied by the sq. root of 3.
first turn this into a triangle...

the base is 66 and you know two of the angles (30 deg. and 90 deg (the base and the ground)). Now this is a 30-60-90 triangle. the rules 4 30-60-90 is the base is x, the hyp. is 2x and the other leg is x multiplied by the sq. root of 3. you know x (66) so your answer is 66 multiplied by the sq. root of 3