A man is walking along a straight road He notices the top of a tower subtending an angle A=60degree - Maths - Some Applications of Trigonometry

Question

A man is walking along a straight road He notices the top of a
tower subtending an angle A=60degree with the ground at the point
where he is standing If the height of the tower is h=25m, then what
is the distance (in met ers) of the man from the tower?

Manbar Singh · Accepted Answer

Let C be the point where the man is standing on the ground
Let AB be the tower of height 25 m
Let ∠ACB = 60°In ∆ABC,tan 60° = ABBC⇒3 = 25BC⇒BC = 253 = 253×33 = 2533 = 25 × 1
7323 = 43 33=14 43 m

So, the man is standing at a distance of 14 43 m from the tower

A man is walking along a straight road. He notices the top of a tower subtending an angle A=60degree with the ground at the point where he is standing. If the height of the tower is h=25m, then what is the distance (in met ers) of the man from the tower?