## Exam Style Question on Trigonometry## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 87. This question is similar to one that appeared in an IB Studies paper in 2014. The use of a calculator is allowed.

Neung is at Bangkok's Suvarnabhumi Airport watching the planes take off. He observes a plane that is at an angle of elevation of 25^{o} from where he is standing at point N. The plane is at a height of 390 metres as can be seen in the following diagram (not to scale).

(a) Calculate the horizontal distance, NH, of the plane from Neung. Give your answer to the nearest metre.

The plane took off from a point T, which is 230 metres from where Neung is standing, as shown in the following diagram (not to scale).

(b) Calculate the angle ATH, the take-off angle of the plane to the nearest degree.

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