Algebra II Student Needed To Help Answer Trigonometry Question!

So my teacher gave us an extra credit problem to do and nobody has any idea how to do it. However, she said we could ask any (Accelerated) Algebra II Student so I appeal to you, my lovely reader.

"You measure the angle of elevation from the ground to the top of a building at 32 degrees. When you move 50 meters closer to the building, the angle of elevation is 53 degrees. How high is the building?

Thanks!

Basically, you have 2 triangles

Let h = height of building
Let x = distance from building
Let x - 50 = distance from building after getting closer

Tangent is the function to use here as it measured as opposite divided by adjacent

tan(32) = h / x
tan(53) = h / (x - 50)

x * tan(32) = (x - 50) * tan(53)
x / (x - 50) = tan(53) / tan(32)
x / (x - 50) ~ 2.1237156496242635750664959904472
x ~ 2.1237156496242635750664959904472(x - 50)
x - 2.1237156496242635750664959904472x ~ -50 * 2.1237156496242635750664959904472
-1.1237156496242635750664959904472x ~ -106.18578248121317875332479952236
x ~ -106.18578248121317875332479952236 / -1.1237156496242635750664959904472
x ~ 94.495242205373292819048414635563

tan(32) = h / x
94.495242205373292819048414635563 * tan(32) = h
h ~ 59.047180755386541477290065796174

i got 31.244

the way i did it was...
first draw a triangle with bottom left angle being 32 and the top point being the top of building.
and then draw a line from the bottom right of the triangle just drawn to make a new triangle, and we know the angle of elevation for triangle two is 53 degrees.

we also know that the distance from the first angle of elevation to the second is 50 meters.

We know cos(x)=adjacent / hypotenuse.
so cos (32) = 50 / hypotenuse. now solve for hypotenuse.
which will come out to 58.96

since we now have the hypotenuse of the overall triangle, we simply use sin(x) = opposite/ hypotenuse now.

sin32 = x / 58.96

where x = 31.244

idk how the hell these other guys got their answer though. but mine makes sense to me

this is really weird how i cant figure out how they got it, im in college at the calculus level, so i havent dealt with trig in a little while. but it wasnt so long ago that i forgot everything

PLEASE LET ME KNOW WHAT THE RIGHT ANSWER IS WHEN YOU TALK TO YOUR TEACHER

59.05

h = d tan 32
h = (d-50) tan 53
d = 94.4952
h = 59.0471543825422849022113267892476069144…