$\"\"$

Find the height of Mount Rushmore.

Observe the diagram.

The faces of the presidents at Mount Rushmore are $\"\"$ feet tall.

A visitor sees the top of George Washington’s head at a $\"\"$ angle of elevation and chin at a $\"\"$ angle of elevation.

From the smaller right angle triangle.

Trigonometric function : $\"\"$ .

$\"\"$

From the larger right angle triangle.

Trigonometric function : $\"\"$ .

$\"\"$

Substitute $\"\"$ in the above equation.

$\"\"$

Mount Rushmore is about $\"\"$ feet tall.

$\"\"$

Mount Rushmore is about $\"\"$ feet tall.