1. On a vertical wall a certain painting, whose base is 6 ft. from the floor, is hanged. From a point on the floor, the angles of elevation of the top and bottom of the flagpole are 45° and 30 ° . Find the vertical dimension of the painting.

2. The angle of elevation from the top of the cliff to the top of the second cliff 290 ft. away is 68° , while the angle of depression from the top of the the first cliff to the bottom of the second cliff is 63° . Find the height of the second cliff.

Question

1. On a vertical wall a certain painting, whose base is 6 ft. from the floor, is hanged. From a point on the floor, the angles of elevation of the top and bottom of the flagpole are 45°  and 30 ° . Find the vertical dimension of the painting.

2. The angle of elevation from the top of the cliff to the top of the second cliff 290 ft. away is 68° , while the angle of depression from the top of the the first cliff to the bottom of the second cliff is 63° . Find the height of the second cliff.