8th-grade mathematics
2 answers:
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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.
Answer:
7.66 km
Step-by-step explanation:
Let distance village is ; north of O = x
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Opposite = x
Hypotenus = 10
θ = 50°
Sin50 = x / 10
0.7660444 = x / 10
x = 0.7660444 * 10
x = 7.6604444
x = 7.66
