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Trigonometry questions

Trigonometry questions | form two Basic Mathematics

Find Trigonometry examination questions, form two Basic Mathematics in acaproso.com

# Question
1

Given the following figure, find the value of h, correct to one decimal place

Pythagorous theorem


Mathematical Calculation
2

A building has an angle of elevation of 35° from a point P, and an angle of elevation of 45° from a point Q. If the distance between points P and Q is 30cm; what is the height of the building? (Write your final answer correct to two decimal places).


Mathematical Calculation
3

A ladder 12m long leans against the top of vertical wall and makes an angle of 52 degrees with the wall. Find the height of the wall


Mathematical Calculation
4

Without using tables simplify, (cos^{2}45^{circ}-sin^{2}30^{circ})+(cos 30^{circ}+sin60^{circ})


Mathematical Calculation
5
  1. Given angle B is an acute angle and tan^{-}B=frac{4}{3} . Find cos 2B if cos 2B =cos^{2}B-sin^{2}B
  2. Find the height of a building, if the angle of elevetion of its top from a point 70m away is 25°

Mathematical Calculation
6

Village A is 5km from village B on a bearing of N 58° W. ViIlage B is 3km from village C on a bearing of N 32° E. How and on what bearing is village A from village C?


Mathematical Calculation
7

If A is an acute angle and Cos A= 12/13, find the ratio x:y.


Mathematical Calculation
8

The angle of depression of a boat from a light house 50m high is 18 ° . How far is the boat from the foot of the light house?


Mathematical Calculation
9
  1. Without using tables simplify  frac{(tan45^{circ})(cos30^{circ})}{sin45^{circ}+sin60^{circ}}  rationalize the denominator of your answer.
  2. If a tree 5m high cast a shadow 3.5m long, find;
  1. The angle of elevation of the sun
  2. The height of a woman who casts a shadow of 1.4m at the same time.

Mathematical Calculation
10

A 6m high tree cast a shadow 4m long . Find the angle of elevation of the sun.


Mathematical Calculation