Amrita stood near the base of a lighthouse, gazing up at its towering height. She measured the angle of elevation to the top and found it to be 60∘. Then, she climbed a nearby observation deck, 40 metres higher than her original position and noticed the angle of elevation to the top of lighthouse to be 45∘.
Based on the above given information, answer the following questions :
a. If CD is h metres, find the distance BD in terms of 'h'.
b. Find distance BC in terms of 'h'.
c. (a) Find the height CE of the lighthouse [Use 3=1.73]
d. OR (b) Find distance AE, if AC = 100 m.