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The angle of elevation of the top of a building from a point M away on level ground is 30 degrees. calculate the height of the building?

To calculate the height of the building, we can use the tangent function, which relates the angle of elevation to the opposite side (height of the building) and the adjacent side (distance from the point to the building). If we denote the height of the building as ( h ) and the distance from point M to the building as ( d ), we have: [ \tan(30^\circ) = \frac{h}{d} ] Since (\tan(30^\circ) = \frac{1}{\sqrt{3}}), we can rearrange the equation to find the height: [ h = d \cdot \frac{1}{\sqrt{3}} \approx 0.577 d ] Thus, the height of the building is approximately 0.577 times the distance from point M to the building.


A building is 60ft high From a distance at A on the ground the angle of elevation to the top of the building is 40 From a lil nearer at B the angle of elevation is 70 Find the distance from A to B?

Using the formula: tangent = opposite/adjacent whereas tangent angle = height/ground distance, will help to solve the problem


What is the angle of elevation from the top of a bluilding from a point 165 feet away from the building on ground level is 26 degrees what is the height of the building?

The question is not quite clear but if the angle of elevation is 26 degrees at a distance of 165 feet away from the building then its height is 80.47587711 feet. 165*tan(26) = 80.47587711 feet


What is the relationship between the angle of elevation and the highest point?

If the base of the elevation is at a distance d from the observer, then the highest point is at a height = d*tan(angle of elevation)


What is the equation for height in physics?

Height of an object = (elevation of its top) - (elevation of its bottom)

Related Questions

The horizontal distance between a motorcycle and a building is 200m and the angle of elevation in the motorcycle to the top of the building is 65 what is the height of the building?

It is: tan(65)*200 = 429 meters rounded


At a certain distance the angle of elevation to the top of a building is 60 From 40ft further back the angle of elevation is 45 Find the height of the building?

Angle of elevation: tangent angle = opposite/adjacent and by rearranging the given formula will help to solve the problem


A building is 60ft high From a distance at A on the ground the angle of elevation to the top of the building is 40 From a lil nearer at B the angle of elevation is 70 Find the distance from A to B?

Using the formula: tangent = opposite/adjacent whereas tangent angle = height/ground distance, will help to solve the problem


What is a word for the distance above or below sea level?

"elevation" "altitude" "contour height" "trig height" "spot height"


What is the angle of elevation from the top of a bluilding from a point 165 feet away from the building on ground level is 26 degrees what is the height of the building?

The question is not quite clear but if the angle of elevation is 26 degrees at a distance of 165 feet away from the building then its height is 80.47587711 feet. 165*tan(26) = 80.47587711 feet


What is the height at one place called?

The height at one place is called elevation. Elevation refers to the vertical distance of a location above sea level.


What are the six elements of geogrophy?

width, height, elevation, depth, distance, substance


What are the terms of elevation and relief in science?

In science, elevation refers to the height of a point above a reference level, usually sea level. Relief, on the other hand, is the difference in elevation between the highest and lowest points in a particular area, indicating the variation in terrain height. Together, elevation and relief provide important information about the topography and geographical features of a region.


What is the relationship between the angle of elevation and the highest point?

If the base of the elevation is at a distance d from the observer, then the highest point is at a height = d*tan(angle of elevation)


Measure of change in elevation in a certain distance is called what?

The measure of change in elevation in a certain distance is called slope. It is typically expressed as the ratio of the change in vertical height to the horizontal distance between two points on a surface.


What is The shortest distance from the base of a parallelogram to its opposite side is?

The shortest distance from the given information will be its height


What is The term for a geographic locations height above sea level is?

Elevation. "The elevation of a geographic location is its height above a fixed reference point, often the mean sea level."