Perbandingan Trigonometri Part 2- Mengukur Tinggi Benda dengan Clinometer

Summary

In this educational video, students are introduced to using a clinometer to measure the height of tall objects, such as buildings, by applying trigonometric principles. The instructor explains the concept of elevation and depression angles and how they relate to horizontal lines. A classmate, Lintang, demonstrates the process by measuring the height of a pole, using a clinometer and a measuring tape. Through calculations involving tangents and trigonometry, Lintang determines the height of the pole to be 10 meters. The video offers a practical, hands-on approach to learning and applying basic trigonometric concepts for real-world measurements.

Takeaways

• 😀 The clinometer is a simple tool used to measure the height of an object by applying trigonometric principles.
• 😀 You can measure the height of a building or object without measuring it directly from top to bottom, saving time and energy.
• 😀 The process involves using the clinometer at eye level and aiming it at the top of the object to measure.
• 😀 Two key angles are involved: the elevation angle (when looking up) and the depression angle (when looking down).
• 😀 The horizontal direction is the line straight across from your eye level, which helps in forming angles of elevation or depression.
• 😀 Lintang demonstrates how to use the clinometer to measure the height of a pole at GOR Smansa, making the learning practical and hands-on.
• 😀 The distance from the observer to the object is essential, and in this case, the distance was measured as 6 meters.
• 😀 The angle formed between the clinometer and the object (55 degrees) is used to calculate the height of the object using trigonometric ratios.
• 😀 Trigonometric functions like tangent are used to calculate the height difference, which in this example was 8.4 meters.
• 😀 By adding the observer’s height (1.62 meters) to the result, the total height of the pole was found to be approximately 10 meters.

Q & A

What is the main purpose of this video tutorial?

The main purpose of the video is to teach how to use a clinometer to measure the height of an object, applying the principles of trigonometric ratios previously learned.

What is a clinometer, and how is it used in this tutorial?

A clinometer is a tool used to measure angles of elevation and depression. In the tutorial, it is used to measure the height of an object by pointing it towards the top of the object while standing at a known distance.

What are the two main types of angles discussed in the video?

The two main types of angles discussed are the angle of elevation (when looking upward) and the angle of depression (when looking downward).

What is the angle of elevation?

The angle of elevation is the angle formed when you look upward towards an object that is higher than your eye level, relative to the horizontal.

What is the angle of depression?

The angle of depression is the angle formed when you look downward towards an object that is lower than your eye level, relative to the horizontal.

How do you calculate the height of an object using the clinometer?

To calculate the height, you first measure the distance from where you are standing to the base of the object. You also measure the angle of elevation or depression using the clinometer. Then, using trigonometric ratios (specifically tangent), you can calculate the height of the object.

What trigonometric ratio is used in this method?

The tangent (tan) ratio is used, where tan(angle) = opposite/adjacent, with the opposite being the height and the adjacent being the horizontal distance.

In the example, how was the angle of elevation used to find the height?

In the example, the angle of elevation was found to be 55 degrees. Using the formula tan(55°) = height/6 meters (the distance from the object), the height was calculated by multiplying 6 by tan(55°), resulting in 8.4 meters.

How do you determine the total height of the object?

To determine the total height, the calculated height (8.4 meters) is added to the observer's height (1.62 meters), giving a total height of approximately 10 meters.

Why is using a clinometer a practical method for measuring tall objects?

Using a clinometer is practical because it avoids the need for expensive, large measuring tools. It allows for the measurement of tall objects by using simple trigonometric calculations without having to physically measure the height directly.