In a right angled triangle ABC, ∠B=90°, ∠A=30° and AC = 20 cm. Let us determine the lengths of two sides BC and AB.

In the window of our house, there is a ladder at an angle of 60^o with the ground. If the ladder is 2√3m. long, then let us write by calculating with figure, the height of our window above the ground.

ABC is a right angled triangle with its ∠B is 1 right angle. If AB = 8√3 cm. and
BC = 8 cm., then let us write by calculating, the values of ∠ACB and ∠BAC.

In a right angled triangle PQR, ∠Q=90°, ∠R=45°; if PR = 3√2, then let us find out the lengths of two sides PQ and QR.

Let us determine the values of :

sin²45° – cosec²60° + sec²30°