A power pole broke
To the nearest tenth of a meter, what was the original height of the pole
opp=7 meters
adj=11 meters
h^2 = (11)^2 + 7^2 = 170,
h = 13 meters.
he used the pythgrean theorem
c^2 = a^2 + b^2
is it right???
20
To determine the original height of the power pole, we can use the trigonometric function tangent, which is defined as the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle in a right triangle.
In this scenario, we have the length of the side opposite the angle (7 meters, representing the height of the broken part of the pole) and the length of the side adjacent to the angle (11 meters, representing the remaining part of the pole).
Let's use the formula for tangent:
tangent (θ) = opposite / adjacent
Now, we need to find the angle θ:
θ = arctan (opposite / adjacent)
Plugging in the known values:
θ = arctan (7 / 11)
To find the original height of the power pole, we need to determine the length of the hypotenuse (i.e., the total height of the pole). Using the Pythagorean theorem, we can find the length of the hypotenuse:
hypotenuse = √(adjacent^2 + opposite^2)
Plugging in the known values:
hypotenuse = √(11^2 + 7^2)
After finding the length of the hypotenuse, we will have the original height of the power pole. Rounding this value to the nearest tenth of a meter will give us the answer to the question.