Question 1

A tower stands vertically on the ground. From a point on the ground, which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60°. Find the height o

Accepted Answer

Let $AB$ be the height of the tower and $C$ be the point on the ground 15 m away from the foot of the tower $B$. 
Given: Distance $BC = 15$ m Angle of elevation $\angle ACB = 60°$ Let the height $AB = h$ m 
In right-angled triangle $	riangle ABC$: $$	an(60°) = \frac{	ext{Perpendicular}}{	ext{B

Question 2

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Fin

Accepted Answer

Let $AB$ be the 30 m tall building and $CD = 1.5$ m be the boy. The height of the building above the boy's eyes is: $$AE = 30 - 1.5 = 28.5 	ext{ m}$| 
Let the boy initially stand at point $C$ where the angle of elevation is 30°, and walk to point $F$ where the angle of elevation becomes 60°. 
In

Question 3

Define the terms 'Line of Sight', 'Angle of Elevation', and 'Angle of Depression' with the help of a theoretical description used in the applications of trigonometry.

Accepted Answer

In the study of heights and distances which forms the core of the applications of trigonometry, several key terminologies are consistently used to set up right-angled triangles for solving practical problems. Firstly, the Line of Sight is defined as the imaginary straight line drawn from the observe

Question 4

Explain the step-by-step methodology used to solve practical problems related to heights and distances in trigonometry, highlighting the importance of correct diagrammatic representation.

Accepted Answer

Solving practical problems based on heights and distances requires a systematic and disciplined approach, as the entire solution depends heavily on the initial interpretation of the word problem. The first and most critical step in this methodology is to read the given statement thoroughly and draw

Applications of Trigonometry