A statue, 1.46 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation to the top of the statue is 60 degrees, and from the same point, the angle of elevation to the top of the pedestal is 45 degrees. Find the height of the pedestal.

To find the height of the pedestal, we can use trigonometry and the given angles of elevation. By setting up a right triangle and using the tangent function, we can solve for the height of the pedestal. The height of the pedestal is approximately 0.844 meters.

Explanation:

To find the height of pedestal, we can use trigonometry. Let's assume the height of the pedestal is 'h' meters. From the given information, we can create a right triangle with the statue as the opposite side, the pedestal as the adjacent side, and the distance from the point on the ground as the hypotenuse. Since the angle of elevation to the top of the statue is 60 degrees, we can use the tangent function:

tan(60) = statue height / pedestal height

Simplifying the equation, we get:

1.73 = 1.46 / h

Cross multiply and solve for 'h', we get:

h = 1.46 / 1.73 = 0.844 meters

Therefore, the height of the pedestal is approximately 0.844 meters.

Learn more about Height of pedestal here:

https://brainly.com/question/30355199

#SPJ11