Question

the angle of elevation of the top of a tower from a point on the ground which is 30 metre away from the top feet foot of the tower is 30 degree find the height of the tower​

Answer 1

make diagram and solve it

Answer 2

$\large\tt\red{In\:∆ABC,}$

$\large\tt\red{\angle{B}=90°}$

$\large\tt\red{tan\:C=\frac{AB}{BC}}$

$\large\tt\red{\frac{AB}{30}=\frac{1}{√3}}$

$\large\tt\red{√3AB=30}$

$\large\tt\red{AB=\frac{30}{√3}}$

$\large\tt\red{AB=\frac{30}{√3}×\frac{√3}{√3}=\frac{30√3}{3}}$

$\large\tt\red{AB=10√3m}$