Help please. The length of the shadow of a building is 100 meters as shown below.

What is the height of the building?

50 m
100 m
200 m
55 m

Question

Help please.  The length of the shadow of a building is 100 meters as shown below.

What is the height of the building? 

50 m 
100 m 
200 m 
55 m

anonymous · Answer

attachment

anonymous · Answer

Since in all triangles, the angle measures will add to 180, and since you have 2 measures already (90 and 45), that last angle will be 45 degrees and you will have an isosceles right triangle.

The sides opposite equally-measured angles will have the same length.

anonymous · Answer

ok

anonymous · Answer

So, angle A is 45 and its opposite side is 100.  Angle C is also 45, so you can now determine the measure of its opposite side.

anonymous · Answer

Ok thank you I understand it now.

anonymous · Answer

Good luck to you in all of your studies and thx for the recognition!  And you're welcome! @marylou004