Let AB be the tower and BC be the length of the shadow of the tower. Here, θ is the angle of elevation of the sun. Given, length of shadow of tower = `sqrt3` × Height of the tower BC = `sqrt3` AB ... (1) In right ΔABC `tanO/=(AB)/(BC)` `(tanO/=(\text{opposite side})/\text{opposite side})` `thereforetanO/=(AB)/sqrt(AB)` `\text{Using} (1)` `rArrtanO/=1/sqrt3` `rArrtan=tan 30^@` `(thereforetan30^@=1/sqrt3)` `rArrO/=30^@` Thus, the angle of elevation of the sun is 30°. Hence, the correct answer is B. |