If the engineer's eye is at ground level, then the distance to the point on the building underneath its highest point is 450/tan(22) ft. If the engineer was standing and his eyes were x ft above the ground, the distance is (450-x)/tan(22) ft.
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
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.
tan40=x/100 100tan(40)=83.9m
18.6 m/52.6 degrees tan= 14.2
It can be shown that:height = (d tan α tan β)/(tan α - tan β)where: α is the angle closest to the objectβ is the angle further away from the objectd is the distance from the point of angle α to the point of angle βThus: height = (80 ft × tan 45° × tan 34°)/(tan 45° - tan 34°) ≈ 165.78 ft
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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
below 90 degrees
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.
tan40=x/100 100tan(40)=83.9m
18.6 m/52.6 degrees tan= 14.2
It can be shown that:height = (d tan α tan β)/(tan α - tan β)where: α is the angle closest to the objectβ is the angle further away from the objectd is the distance from the point of angle α to the point of angle βThus: height = (80 ft × tan 45° × tan 34°)/(tan 45° - tan 34°) ≈ 165.78 ft
the elevation of sea level is 0 degrees.
Using trigonometry and the sine ratio the distance is 959 meters to the nearest meter.
Using trigonometry the height of the tower works out as 15.2 meters rounded to one decimal place.
(Height of the building)/(length of the shadow) = tangent of 31° .Height = 73 tan(31°) = 43.9 feet (rounded)
Absolute location is typically defined by 3 (sometimes 4 variables): Latitude (distance from equator measured in degrees, minutes and seconds), longitude (distance from the prime meridian also given in degrees, minutes and seconds), elevation (distance above/below sea level) and sometimes time.