Wangedhi whose eye level is 182cm tall observedthe angle of elevation to the top of her house to be 32° from her eye level at point A. She walks towards the house on a straight line to point Bat which point she observes the angle of elevation to the top of the building to the 40° . Calculate correct to 2 decimal places

Question

Wangedhi whose eye level is 182cm tall observedthe angle of elevation to the top of her house to be 32° from her eye level at point A. She walks towards the house on a straight line to point Bat which point she observes the angle of elevation to the top of the building to the 40° . Calculate correct to 2 decimal places

B) the height of A from the house
A) the distance of A from the house

Answer 1

not sure what "the height of A from the house" means. I suppose that you want the height of the house, since it does not change, no matter where she stands. Let that height be h.

Nor can we determine the distance of A from the house, since all w ehave are two angles. All we know is that if she walks a distance x from A to B, then x = (h-182)/(cot32° - cot40°). Since all we have are two angles, h and x can be found only in relation to each other.