Calculating Mount Everest's Height

The video tutorial explains how to calculate the height of Mount Everest using the angle of elevation and trigonometry. It begins with an introduction to the concept of angle of elevation, followed by a visual representation of the problem. The tutorial then demonstrates the calculation of the height using the sine function and concludes with converting the result from miles to feet.

What was the primary method used to determine the height of Mount Everest in 1856?

• Climbing to the peak

• Using trigonometry

• Satellite imaging

• Aerial photography

What was the altitude of the mountain where the surveyors were positioned?

• 14,545 feet

• 27,013.4 feet

• 5,280 feet

• 8,848 feet

What is the angle of elevation from the surveyors' position to the peak of Mount Everest?

• 5.82 degrees

• 7.5 degrees

• 15 degrees

• 10 degrees

Which trigonometric function is used to calculate the height of Mount Everest in this problem?

• Sine

• Tangent

• Secant

• Cosine

What is the straight-line distance from the surveyors to the peak of Mount Everest?

• 5.82 miles

• 8,848 miles

• 27.0134 miles

• 14,545 miles

How many feet are there in one mile?

• 5,280 feet

• 6,000 feet

• 1,000 feet

• 3,280 feet

What is the calculated height of Mount Everest in miles before conversion?

• 2.739 miles

• 5.280 miles

• 14.545 miles

• 27.013 miles

What is the final calculated height of Mount Everest in feet?

• 14,545 feet

• 27,013 feet

• 28,801 feet

• 8,848 feet

What additional height is added to the calculated height to find the total height of Mount Everest?

• 8,848 feet

• 5,280 feet

• 27,013 feet

• 14,545 feet

What is the significance of the year 1953 in the context of Mount Everest?

• First satellite image

• First aerial survey

• First measurement of height

• First successful climb