From a point on the ground, the angle of elevation to the top of a building is 4

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What’s inside this PDF?

Question: From a point on the ground, the angle of elevation to the top of a building is 45 degrees. If the point is 10 meters away from the building, what is the height of the building?

Options:

10 meters
5 meters
15 meters
20 meters

Correct Answer: 10 meters

Solution:

Using the tangent function, tan(45) = height / 10. Therefore, height = 10 * tan(45) = 10 meters.

From a point on the ground, the angle of elevation to the top of a building is 4

Practice Questions

From a point on the ground, the angle of elevation to the top of a building is 45 degrees. If the point is 10 meters away from the building, what is the height of the building?

10 meters
5 meters
15 meters
20 meters

Questions & Step-by-Step Solutions

From a point on the ground, the angle of elevation to the top of a building is 45 degrees. If the point is 10 meters away from the building, what is the height of the building?

Step 1: Understand the problem. You are looking for the height of a building.
Step 2: Identify the angle of elevation. It is given as 45 degrees.
Step 3: Note the distance from the point on the ground to the building. It is 10 meters.
Step 4: Recall the tangent function in a right triangle. It relates the angle to the opposite side (height) and the adjacent side (distance from the building).
Step 5: Write the formula for tangent: tan(angle) = opposite / adjacent.
Step 6: Substitute the known values into the formula: tan(45) = height / 10.
Step 7: Calculate tan(45). It equals 1.
Step 8: Rewrite the equation: 1 = height / 10.
Step 9: Solve for height by multiplying both sides by 10: height = 10 * 1.
Step 10: Conclude that the height of the building is 10 meters.

Trigonometric Ratios – Understanding the relationship between angles and sides in right triangles, specifically using the tangent function.
Angle of Elevation – The angle formed by the line of sight from a point on the ground to the top of an object above the ground.
Right Triangle Properties – Applying properties of right triangles to solve for unknown lengths using known angles and distances.

From a point on the ground, the angle of elevation to the top of a building is 4

What’s inside this PDF?

From a point on the ground, the angle of elevation to the top of a building is 4

Practice Questions

Questions & Step-by-Step Solutions

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