Question

Assertion (A): The length of the line AB is 100 m.

Reason (R): tan 45° = `50/"PB"` ⇒ PB = 50 m and AB = 50 m + 50 m = 100 m.

Options

• A is true, R is false.

• A is false, R is true.

• Both A and R are true and R is the correct reason for A.

• Both A and Rare true and R is the incorrect reason for A.

Answer 1

Both A and R are true and R is the correct reason for A.

Explanation:

tan45° = 1 gives PB = 50 m; by symmetry AP = PB = 50 m, so AB = AP + PB = 50 + 50 = 100 m.