How to use the Sine Rule: Leaving Cert Higher Level Maths Tutorial

Описание: In this video, we break down Question 8(c) from the 2025 Leaving Cert Higher Level Maths Paper 2. We focus on practical trigonometry, specifically using the Sine Rule to find unknown lengths and applying trigonometric ratios in right-angled triangles to calculate the total height of a tower.

This step-by-step guide is perfect for 5th and 6th-year students preparing for their exams. We cover:

Identifying triangles within a real-world diagram.

Calculating missing angles using the 180-degree rule.

Applying the Sine Rule formula effectively.

Using Sine (Opposite/Hypotenuse) to find the vertical height.

Accounting for the height of the observer in final calculations.

00:00 Introduction to the tower height problem

00:11 Reading and interpreting the trigonometry diagram

01:21 Part i: Using the Sine Rule to find length x

01:50 Accessing the Formula and Tables booklet (Page 16)

02:12 Labeling the triangle for the Sine Rule

02:53 Calculating unknown angles on a straight line

03:19 Calculating the third angle in a triangle

03:41 Setting up and solving the Sine Rule equation

04:30 Part ii: Finding the total height (h) of the tower

05:08 Breaking down the total height components

05:25 Determining if a triangle is right-angled

06:24 Using the Sine ratio (SOH) for vertical height

07:14 Setting up the Sine equation for side a

07:44 Calculating the final height including observer height

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