Question

The length of the shadow of a building is 90 meters as shown below.
http://go.flvs.net/courses/1/flvs_57_3641_12419/ppg/respondus/pool_Geom_3641_0400_Subtest_04_13/image0024e29d589.jpg
What is the height of the building?
A) 30√3
B) 60 m
C) 90√3
D) 180 m

Answer 1

using tan(theta)=opposite/adjascent
your opposite is the height of the building, adjascent is the footfrom the observer to the building
therefore, height of the building, H... Adjascent which is the shadow is 90
angle of inclinatiopn is 30
tan30=H/90
H=90tan30
H=90\[\sqrt{3}\]
height of the building is 90square root 3
this is because tan30=square root 3

Answer 2

90 sqrt 3 isn't the answer... @bolatito