Meteorological calculations To measure the height h of a cloud cover, a meteorology studen...

Meteorological calculations To measure the height h of a cloud cover, a meteorology student directs a spotlight vertically upward from the ground. From a point P on level ground that is d meters from the spotlight, the angle of elevation θ of the light image on the clouds is then measured (see the figure).

(a) Express h in terms of d and θ.

(b) Approximate h if d = 1000 m and θ = 59°.

EXERCISE