F3 Maths Problems

1) In making a TV commercial, the producer p;aces a spotlight on a building of height 100m to project an image onto the sky. Suppose the direction of projection makes an angle of 32 degrees with the horizontal and the distance between the image and the spotlight is 40m. Find the angle of elevation θ of the image from the foot of the building.
figure: http://postimg.org/image/sz6ofe6cv/

2) The figure shows a beach running from east to west, where A and B are positions in the beach 250m apart and B is due east of A. The point P is a floating platform in the sea. The bearing of P measured from A and B are N50°E and N64°W respectively. Find the shortest distance between the floating platform and the beach.
figure: http://postimg.org/image/h8ls886i7/

Need steps, plz!