Question

If the radius of the planet is given by R, and the height above the surface is given by h, use the figure below, and the Pythagorean Theorem to derive the formula for the distance, d, to the horizon tangent point, assuming that the triangle is a right triangle.

Please answer the second one too

Answer 1

Applying the pythagroean theorem, the formula to find the horizontal distance, d, is: $\mathbf{d = \sqrt{h^2 - R^2} }$

What is the Pythagorean Theorem?

The pyhagroean theorem is given as, c² = a² + b², where h is the longest side of the right triangle.

Given  the following:

• c = h
• a = d
• b = R

The formula derived would be:

h² = d² + R²

Make d the subject fo the formula

$\mathbf{d = \sqrt{h^2 - R^2} }$

Learn more about the pythagorean theorem on:

https://brainly.com/question/654982

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