TOPICS: Trigonometric Ratios

LEVEL: Form 2 Level
SOURCE: Kcse 1996 Paper 1, Question 4
MARKS: 3

TESTED SKILLS: 

The skills tested in this problem include:

  1. Trigonometry: Understanding the relationships between angles and sides in right triangles, specifically using the tangent function to relate the angle of elevation to the height of the building and the distance from the point of observation.

  2. Geometry: Applying geometric principles related to right triangles, particularly the concept of opposite and adjacent sides in the context of angles of elevation.

  3. Algebra: Solving for unknowns, such as the height of the building and the angle of elevation, using algebraic manipulation and inverse trigonometric functions.

QUESTION

A man walks directly from point A towards the foot of a tall building 240m away. After covering 180m, he observes that the angle of the top of the building is 45. Determine the angle of elevation of the top of the building from A. ( 3 marks)

MARKING SCHEME

Upgrade or Subscribe

Oops! Unlock More Access Rights:

If you find that you are not subscribed, consider upgrading your account or subscribing to the necessary plan to gain access.