High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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.

Answer :

Final answer:

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

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada