A 20 foot cable is attached to the ground from the top of a telephone pole. If it reaches the ground 13 feet from the base of the pole, what is the angle created between the ground and the cable?
Ответы
Ответ дал:
1
Ответ:
60.87 degrees
Объяснение:
To find the angle created between the ground and the cable, we can use the Pythagorean theorem. Let's call the angle "x". Then, we have:
20^2 = 13^2 + (20 * sin(x))^2
Expanding the right side of the equation and solving for sin(x), we get:
sin(x) = sqrt(400 - 169) / 20
Taking the inverse sine (arcsin) of both sides, we get:
x = asin(sqrt(231) / 20)
Finally, converting from radians to degrees:
x = asin(sqrt(231) / 20) * 180 / pi
x = approximately 60.87 degrees.
So the angle created between the ground and the cable is approximately 60.87 degrees.
polinkablonde:
omg thank u so much
Вас заинтересует
3 месяца назад
4 месяца назад
4 месяца назад
1 год назад
1 год назад
7 лет назад
7 лет назад