11. The diagram below is a sketch of the Eiffel Tower. The sketch is drawn to scale. The Eiffel Tower is 324 metres tall. Visitors can climb up to the Level 2 viewing platform using the internal steps.
Diagram is drawn to scale
(a) Which of the following is a reasonable estimate of the number of steps from the ground to the Level 2 viewing platform? [1]
150 650 2500 3500 6500
(b)
Diagram not drawn to scale
Calculate the angle of elevation of the top of the Eiffel Tower from the point P. [3]
Mark scheme (a)
Scheme
Marks
Comments
650 (steps)
B1
Mark scheme (b)
Scheme
Marks
Comments
(x =) \(\tan^{-1}\dfrac{324}{800}\)
M2
OR alternative full method (Pythagoras’ Theorem followed by relevant trigonometry) (Note: Hypotenuse is 863.1... m) M1 for tan x = 324/800 OR for statement of ‘their trig ratio’, with values substituted, from alternative full method
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