Roger Survives The Jump!
Storyboard Descripción
After Roger experiences breathing problems while hiking, he is troubled with the issue of wondering whether he can survive his jump off the cliff. In this alternate version of the story, Roger survives the jump but is then left on an island... stranded! He undergoes two more trigonometric problems regarding a coconut tree and a helicopter!
Texto del Guión Gráfico
- 15,000 ft
- x
- 21,000 ft
- If the point that he wants to land at is 21,000 feet away, the cliff is 15,000 feet high and the distance between him and the water is 25,807 feet, what angle of depression will allow for him to safely land in the water?
- 25,807 ft
- Roger needs to land in the water from the cliff but is not sure at what angle of depression or lower will allow for him to safely land in the water.
- x
- 15,000 ft
- 35.5°
- 21,000 ft
- 25,807 ft
- sin (x) = 15,000/25,807 sin^-1 x 15,000/25,807 = xx = 35.5°
- Roger´s angle of depression must be 35.5 degrees or lower in order to safely land in the water. If his angle is any higher, he will crash into the ground and die.
- 35.5°
- Roger swims to safety on an island, but now he wants cocnuts on the top of a tree. He wants to know how tall the tree is to understand whether it is climbable.
- 5 ft
- 32°
- Knowing that his eye level is 23.5 feet away from the tree, 27 feet away from the cocunuts, his angle of elevation is 32° from eye level to coconuts, and he is 5 feet up to his eyes, how tall is the tree?
- 27 ft
- 23.5 ft
- x ft
- tan (32) = x / 23.5tan (32) x 23.5 = x x = 14.7 feet14.7 + 5 = 19.7 feet
- 5 ft
- 32°
- After finding the tangent and sine of 32°, Roger hads found that the hieght of the tree is 19.7 feet tall and is too tall for him to climb.
- 27 ft
- 23.5 ft
- 14.7 ft
- sin (32) = x / 27sin (32) x 27 = x x = 14.7 feet14.7 + 5 = 19.7 feet
- x ft
- Knowing that Roger is 54 feet away from the top of the tree, the treetop is 76 feet away from teh helicopter, and teh angke the tree make swith Roger's point and teh helicopter is 66°, how far away is Roger from the helicopter?
- 54 ft
- 76 ft
- Roger is sitting alone on the island when he sees a helicopter! He wants to flash the plane with his flashlight but he doesn't know how far away the plane is and whether it will be able to spot him.
- 66°
- 73.2 ft
- Thankfully, the flashlight's light was able to seen within 75 feet and by the Law of Cosine, Roger was 73.2 feet away from the helicopter. He was successfully seen by the plane and saved!
- 54 ft
- x² = 76² + 54² - [2(76 x 54) x cos(66)]x² = 5,776 + 2,916 - [2(4,104) x 0.4067]x² = 8692 - [8,208 x 0.4067]x² = 8692 - 3,338.2x² = 5,253.8x = 73.2 ft
- 76 ft
- 66°
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