SOLUTION: a television antenna is on the roof of a building. from a point on the ground 36.0 ft. fron the building, the angles of elevation of the top and the bottom of the antenna are 51° a

Algebra ->  Trigonometry-basics -> SOLUTION: a television antenna is on the roof of a building. from a point on the ground 36.0 ft. fron the building, the angles of elevation of the top and the bottom of the antenna are 51° a      Log On


   

Question 828386: a television antenna is on the roof of a building. from a point on the ground 36.0 ft. fron the building, the angles of elevation of the top and the bottom of the antenna are 51° and 42°, respectively. how tall is the antenna?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
---
tanA = opp/adj
opp = tanA * adj
---
bottom:
a = tan(42) * 36
a = 32.414545594722235
---
top:
b = tan(51) * 36
b = 44.456297635261841
---
height = b - a
height = 44.456297635261841 - 32.414545594722235
---
answer:
antenna height = 12.04 ft
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php