College

We appreciate your visit to A marble statue of height h1metres is mounted on a pedestal The angles of elevation of the top and bottom of the statue from a. 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 marble statue of height h1metres is mounted on a pedestal. The angles of elevation of the top and bottom of the statue from a point h2metres above the ground level are αandβrespectively. Show that the height of the pedestal is ((h1−h2)tanβ+h2tanα)/tanα−tanβ.

Answer :

So, the height of the pedestal is ((h1−h2)tanβ+h2tanα)/tanα−tanβ.

To find the height of the pedestal, we can use the concept of angles of elevation. The angle of elevation is the angle between the horizontal line of sight and the line of sight to an object above the horizontal.

From the given information, we know that the angles of elevation of the top and bottom of the statue from a point h2 metres above the ground level are α and β respectively.

We can use the tangent of the angle of elevation to find the height of the object. The tangent of the angle of elevation is equal to the height of the object divided by the distance from the base of the object to the point of observation.

Let's call the height of the pedestal as "h3"

So we can write the following equations:

h1/((h3+h1)-h2)= tan(α)

h1/((h3)-h2)= tan(β)

By solving the above equations we can get the value of h3 which is the height of the pedestal.

((h1−h2)tanβ+h2tanα)/tanα−tanβ

This is the final equation which gives the height of the pedestal.

To learn more about angles of elevation

Visit; brainly.com/question/21137209

#SPJ4

Thanks for taking the time to read A marble statue of height h1metres is mounted on a pedestal The angles of elevation of the top and bottom of the statue from a. 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