Ask your own question, for FREE!
Mathematics 21 Online
OpenStudy (anonymous):

The length of the shadow of a building is 100 meters, as shown below: The shadow of a building is 100 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 45 degrees. What is the height of the building?

OpenStudy (anonymous):

OpenStudy (anonymous):

@dan815 @jim_thompson5910 @zzr0ck3r @HS_CA

jimthompson5910 (jim_thompson5910):

how far did you get?

OpenStudy (anonymous):

not far

jimthompson5910 (jim_thompson5910):

do you have an equation set up?

OpenStudy (anonymous):

thats my problem

jimthompson5910 (jim_thompson5910):

|dw:1441154654870:dw|

jimthompson5910 (jim_thompson5910):

with respect to the 45 degree angle, we can add these labels |dw:1441154698897:dw|

jimthompson5910 (jim_thompson5910):

which trig function will we use?

OpenStudy (anonymous):

tangent

jimthompson5910 (jim_thompson5910):

yes since tan(angle) = opp/adj

jimthompson5910 (jim_thompson5910):

so tan(45) = h/100

jimthompson5910 (jim_thompson5910):

are you able to isolate h in `tan(45) = h/100` ?

OpenStudy (anonymous):

no clue

jimthompson5910 (jim_thompson5910):

it might help to evaluate tan(45) first use this calculator http://web2.0calc.com/ to find the value of `tan(45)` and tell me what that is

OpenStudy (anonymous):

1

jimthompson5910 (jim_thompson5910):

yep

jimthompson5910 (jim_thompson5910):

so `tan(45) = h/100` is the same as `1 = h/100`

jimthompson5910 (jim_thompson5910):

so h = ??

OpenStudy (anonymous):

100

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

this is a 45-45-90 triangle with congruent legs

OpenStudy (anonymous):

wait is that it? 100 is the answer?

OpenStudy (anonymous):

thanks :D

jimthompson5910 (jim_thompson5910):

yeah you multiply both sides of `1 = h/100` by 100 to isolate h, you'll find that h = 100

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
euphoriiic: I drew more people !! ud83eudd17.
10 minutes ago 41 Replies 4 Medals
euphoriiic: I drew markk ud83eudd17.
4 hours ago 34 Replies 3 Medals
LOLIAteYourMom: u2212243 = u22129(10 + x)
7 hours ago 0 Replies 0 Medals
Bubblezz: Art for @jeromeccv
7 hours ago 13 Replies 3 Medals
Bubblezz: Art for @jeromecv
11 hours ago 0 Replies 0 Medals
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!