To calculate the height of a building, Kevin measures the angle of elevation to the top as 52(degrees). He then walks 20 m closer to the building and measures the angle of elevation as 60(d). Calculate the height of the building. (Using Sine Rule)?

Question

6228 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-27T10:39:33

The height of the building is 98.07 m (2 decimal place)

(Sine Rule)
# a/sinA = b/sinB #

# a/sin52 = 20/sin8 #

# a = (sin52) * (20/sin8)#

#a = 113.24 m (2 decimal place)#

#sin theta = O /H #

#sin60 = O /113.24#

#O = 113.24 * sin 60#

#O = 98.07 m (2 decimal place) #