stimate how wide the River Thames is at the London Eye. (That is, how far is away is that someone standing from the London Eye?) Round your answer to two decimal places. Show work.
The London Eye is an amazing structure. Dr. T has seen it in person, but not ridden on it because he fears riding Ferris Wheels. The London Eye is 443 feet tall and sits on the banks of the River Thames. If one is standing on the opposite side of the river, the angle of elevation from the ground to the top of the London Eye is 79◦ . Estimate how wide the River Thames is at the London Eye. (That is, how far is away is that someone standing from the London Eye?) Round your answer to two decimal places. Show work.
Trigonometric Functions
There are three basic trigonometric functions sine, cosine, and tangent. They are expressed as and . Let us consider a right-angled triangle as shown in the diagram.
In the right-angled triangle we have the angle , is the perpendicular, is the hypotenuse and is the base of the triangle. The three basic trigonometric functions are defined as
Let us draw the same triangle again.
Given, the height of the London Bridge
the angle of elevation of the eye from the ground to the top of the London Bridge .
The width of the River Thames is the length of the base of the triangle
We know,
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