A person whose eye-level is 1.6 m above the ground stands on level ground at a distance d metres from a vertical tower of height H metres (H>1.6). The angle of elevation of the top of the tower is θ.
a. (i) Show that H=1.6+dtanθ.
b. (ii) Using the relation obtained in part (i), find the height of the tower when d=75m and θ=30∘. (Take 3=1.732.)