Fiona is repairing the wiring on a radio broadcast tower. She is in the basket of the repair truck 40m from the tower. if she looks up at an angle of 42° she can see the top of the tower. She can see the base if she looks down at an angle of 32°. How high is the tower?

Answer 1

it says the that the tower is 61 m high but i’m not sure how they get that

Answer 2

you can draw two right triangles
... her line of sight to the top and the bottom are along the hypotenuse

x = 40 tan(42º) ... y = 40 tan(32º)
...x + y = height of tower

Answer 3

John is repairing the wires on a radio broadcast tower that is 72 m high. He is in the basket of a repair truck. When he looks up, he estimates the angle of elevation to the top of the tower as 45 ̊. When he looks down, he estimates the angle of depression to the bottom of the tower as 35 ̊. What is the distance between the tower and the truck? Draw a
diagram.