Question

the angle of elevation of a ladder leaning against a wall is 60 degree and the foot of the ladder is 9.5m away from the wall. find the height of ladder

Answer 1

cos 60° = height of ladder/distance
=> 1/2 = height of ladder/9.5
=> height of ladder= 9.5×2=19m

Answer 2

$\tan(60) = \frac{h}{9.5} \\ \sqrt{3} = \frac{h}{9.5} \\ h = 9.5 \sqrt{3} m \\ leangth \: of \: ladder = l \\ \cos(60) = \frac{9.5}{l} \\ \frac{1}{2} = \frac{9.5}{l} \\ l = 2 \times 9.5 = 19m$