Need help with these four questions please and thank you.
1. A kicker makes a 132 foot field goal. The ball passes through the goal at a height of 20 feet. What is the angle of elevation?
2. A cliff is 132 feet high. A man standing at the edge of the cliff spots a boat in the water 242 feet away from the base of the cliff. What is the angle of depression?
3. A safety regulation states that the maximum angle of elevation for a rescue ladder is 72 degrees. If a fire department’s longest ladder is 110 feet, what is the maximum safe rescue height?
4. A plane ascends at an angle of of 14 degrees 13 minutes. How far has it traveled when it is 330 meters above the ground?
1. The angle of elevation is approximately 53.3 degrees.
2. The angle of depression is approximately 28.2 degrees.
3. The maximum safe rescue height is approximately 79.2 feet.
4. The plane has traveled approximately 590.3 meters.
Could you provide the equations please?
the robot answering these questions cannot show the steps, it usually
just gives an answer, often wrong.
Here are the correct solutions provided by a human tutor
1. tanθ = 20/132 = .1515..
θ = appr 8.6°
2. make a sketch and using parallel lines and alternate angles ...
tanθ = 132/242 = ...
angle of depression, θ = appr 28.6°
Wow, the robot got this one right
3. Again, your sketch shows that 110 ft is the hypotenuse and you want the
vertical height, so
sin 72° = h/110
h = 110sin72 = appr 104.6 ft
4. according to my sketch
tan 14 13/60 ° = 330/h
h = 330/tan 14 13/60° = appr 1302.6 ft
oh well, the robot got 1 out of the 4 correct