The bird flew 5.45m far from the tree.
Step-by-step explanation:
Given,
Sin70° = 0.94
Cos70° = 0.34
Angle of flight = 70°
Refer the diagram attached for better understanding.
Cos70° = (adjacent side) / (hypotenuse)
0.34 = 2/ hyp
hyp = 2/(0.34)
hyp = 5.8 m
We have to find the opposite side of the angle of flight for the distance the bird flew.
Sin70° = (opposite side) /(hypotenuse)
0.94 = (opposite side) / 5.8
Opposite side= 0.94 x 5.8
= 5.45m
The bird flew 5.45m away from the tree to another tree.
Perimeter is 2w+2l. 2l=2x, and 2w=2x+6. Add them, and get 4x+6
Answer:
Door 3 diagonal 3√10 feet
Step-by-step explanation:
The diagonal of a rectangle is the hypotenuse of a right triangle whose legs are the side lengths of the rectangle. That is, the diagonal of a 9 ft by 3 ft rectangle will have length ...
d = √(9² +3²) = √90 = 3√10
Any "9 ft by 3 ft" figure that has a diagonal different from this is not a rectangle. To fit the rectangular opening, we want a rectangular door—one with a diagonal of 3√10 feet.
