Angle of Elevation and Depression

[hiineko]

A man is standing on a 48.5 building and is looking on a second building. The angle of depression of the top and foot of the second building is 50 degrees and 80 degrees, respectively. What is the height of the second building? The height from the foot to the eye of the man is 1.5 m.

Hello guys!
I tried answering this problem and I kind of a lost of what to do here. This is my illustration, I don't know if I drew the correct illustration. Any help for answering this hard question (for me lol) will be appreciated. Thank you and God bless!

 

[Qwertywerty]

What have you tried till now ?

 

[hiineko]

What have you tried till now ?

First I tried getting it using soh cah toa which I got really lost because I don't know how will I apply soh cah toa here.
I have the angle but I don't know how to use the 48.5 and 1.5.

 

[Qwertywerty]

First I tried getting it using soh cah toa which I got really lost because I don't know how will I apply soh cah toa here.

What is ' soh cah toa ' ?

 

[hiineko]

What is ' soh cah toa ' ?

Uhhh like this?

 

[Qwertywerty]

Take distance between the two buildings as , say , d .

Write the formula for tan twice . Eliminate d . Solve .

What is ' soh cah toa ' ?

Uhhh like this?

I haven't heard of that before .

 

[hiineko]

Take distance between the two buildings as , say , d .

Write the formula for tan twice . Eliminate d . Solve .

I haven't heard of that before .

Okay sir can you be a little specific, I'm getting into it. How do I take the distance between the two buildings sir?

 

[Qwertywerty]

There is some unknown distance between the buildings . Let this be a variable d , or any other of your liking .

Let difference in height of buildings be h .
Now write tan from the top of the second building . Then from the bottom .

Thus find h .

 

[hiineko]

There is some unknown distance between the buildings . Let this be a variable d , or any other of your liking .

Let difference in height of buildings be h .
Now write tan from the top of the second building . Then from the bottom .

Thus find h .

Okay will update you later sir. Thankyou for the help! Hoping I can get it this time.

 

[hiineko]

There is some unknown distance between the buildings . Let this be a variable d , or any other of your liking .

Let difference in height of buildings be h .
Now write tan from the top of the second building . Then from the bottom .

Thus find h .

Got it sir! (pls excuse my bad hand writing lol) Thankyou for assisting me. Cheers mate