Establish two right triangles, both with the height of the pole, h.
Call x the distance from the pole to one stake. Then the distance from the other stake to the pole is 6 -x.
Apply Pytagora's equation to both triangles.
1) h^2 = 7^2 - x^2
2) h^2 = 8^2 - (6-x)^2
Eaual 1 to 2
7^2 - x^2 = 8^2 - 6^2 +12x -x^2
12x = 7^2 -8^2 +6^2 = 49 -64 + 36 = 21
x = 1.75
Substitue x-value in 1
h^2 = 49 - (1.75)^2 = 45.94
h = sqrt(45.94) = 6.78
Answer: option d.
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Answer: 6.4 degrees
Step-by-step explanation:
a= 5 degrees temperature difference to the north gives the opposite of the triangle,
b = 4 degrees temperature difference to the west gives the adjacent,
c = temperature difference of 1 mile to the south east gives the hypotenuse.
Therefore,
Using Pythagoras equation,
c² = b² + a²
c = sqrt( 5² + 4²)
c = sqrt(41) = 6.4 degrees
Therefore, there will be 6.4 degrees temperature difference 1 mile to the south east
Answer:
− 5 a + 45
Step-by-step explanation:
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