Question

A man standing on one side of a road observes that the measure of the angle subtended by the top of a five-storey building on the opposite side of the road is 35 degrees. When he crosses the road of width 35 metres, to approach the building, he finds the measure of the angle to be 65 degrees. Find the height of the building and the distance of the initial position of the man from the building.
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ANSWER= height of the building=36.4 m,
Distance from initial point = 52

Answer 1

try drawing a picture

Answer 2

how will be the figure???

Answer 3

i am kind of weak in english :(

Answer 4

3 unknown variables

distance between building and road x
height of the building h2
height of the person h1

we know the road is 35 meters

Answer 5

2 instances

1st instance-when the guy is on the otherside of the road furthest away from the building

subtend angle =35 degrees
distance away from building would be x+35

2nd instance- when the guy is on the side of the road nearest to the building

subtend angle =65 degrees
distance away from building is x

Answer 6

then a bunch of trig