Clyde knows that he is standing 4 feet away from the board. He also knows that the ledge of the board is 15 feet high. He knows he can’t reach but he wants to know the angle of elevation. He does tan-1 (15/4) = 75°. He is looking at a 75° angle.
This is Clyde. He has a small plastic toy that he wants to put up on the board in a classroom.
Clyde looking at the board at an angle of 60°. He knows the edge of the board is 8ft. high. He wants to know how far away he is. He uses trig again to find the height. He finds out that tan(60) * 8 = 14. So he is 14ft. away.
Even though he could reach. Sadly, the teacher in the room didn’t want a toy on her board.
So, there is only 1 more classroom that he can try. Let’s hope he can reach that board.
This is the final classroom. Clyde is looking at the board at a 45° angle. He knows that he is 8ft. away from the board. He wants to know how high up the edge is. He uses cosine. He figures out that cos(45) * 11 = 8. That means that the height is 8ft.
Clyde is able to put the toy dog on top of the board.
Now the dog has somewhere to stay until he finds a new owner.