Math / Geometry

Question5) Albert and Belle are part of a scientific team studying thunderclouds. The team is about to launch a weather balloon into an active part of a cloud. Albert's rope is 7.8 m long and makes an angle of 36 degrees with the ground. Belle's rope is 5.9 m long. Draw a sketch and determine the angle that Belle makes with the ground. (6 marks)

Studdy Solution
Calculate the angle $\theta$ :
$\theta = \sin^{-1}\left(\frac{4.586}{5.9}\right) \approx \sin^{-1}(0.7773) \approx 51.1^\circ$
The angle that Belle's rope makes with the ground is approximately:
$\boxed{51.1^\circ}$

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