From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30°. A flag is hoisted at the top of the building and angle of elevation of the top of the flagstaff from P is 45°.

(i) Find the length of flagstaff.

(a) 6.32 m

(b) 7.32 m

(c) 8.32 m

(d) 9.32 m

(ii) Find the distance of the building from the point P

(a) 17.32 m

(b) 18.32 m

(c) 19.32 m

(d) 20.32 m

(iii) What is the value of tan 30^o?

(a) 1

(b) 3/2

(c) 3

(d) 1/3

(iv) What is the value of tan 45^o?

(a) 2

(b) 0

(c) 1

(d) 3/2

(v) Write the Pythagoras theorem for ΔAPB.

(a) BP² = AB² + AP²

(b) AB² = AP² + BP²

(c) AP² = AB² + BP²

(d) None of these