A trigonometry diagram showing a hotel, a tower, and a milestone along a road. Angles of elevation to the tower's top from the hotel (20 degrees) and a milestone (11 degrees) are marked. Distances are labeled.

You should use trigonometry, not scale drawings, to find your answers. Raul is visiting a city that has a tall tower on one of its main roads. The hotel where he is staying is also on the same road. Raul starts from his hotel and walks past the tower, stopping at a milestone M, exactly 1 kilometre from his hotel. Raul has a clinometer with him and plans to use it to estimate the height of the tower. Placing the clinometer at his eye, he finds that the angle of elevation of the top of the tower is 11◦ . On returning to his hotel, he also measures the angle of elevation of the top of the tower from there, and finds it to be 20◦ . Let H denote the position of Raul’s hotel (along the main road), and let B denote the base of the tower. You can assume that the road is flat and that H, B and M are on a straight line. Let T denote the top of the tower, which is vertically above its base B. For the questions that follow, we will make the simplifying assumption that the angles are measured as if the clinometer is placed on ground level and not at Raul’s eye height. Generate an image, showing the triangle, HTM. Add point B and join the points B and T with a dotted straight line. Include the information on length (in metres) and angles noted above. The sketch does not have to be to scale See more