Using the sine rules in trigonometry the height of the mountain works out as 3704 meters in height to the nearest whole number.
(Height of the building)/(length of the shadow) = tangent of 31° .Height = 73 tan(31°) = 43.9 feet (rounded)
Consider the following ._ . . . , ______ . , / . , / . , / . ______________/ Dotted line is to the top of the tower, and has an 18 degree angle with the ground Comma line is to the bottom of the tower, and has a 15 degree angle with the ground Visualize the two triangle that exist here: ._ . | . | . , | . , | . , | . , | . _________________| In both cases, the base of the triangle is 200 ft. The height of the dotted triangle is given as sin(18) * 200 = 61.80 The height of the comma triangle is given as sin(15) * 200 = 51.76 The top of the tower is represented by the dotted triangle, so it is 61.80ft above our observation point The bottom of the tower is represented by the comma triangle, so it is 51.76ft above our observation point. The height of the tower is the difference between these heights. 61.80 - 51.76 = 10.04ft The tower is a massive 10ft tall!
tan(36) = H/58 where H is the height of the tower. So H = 58*tan(36) = 42 feet.
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 = (40 ft × tan 50° × tan 30°)/(tan 50° - tan 30°) ≈ 44.80 ft
0.42 inches per foot.
By drawing a sketch from the given information and then using trigonometry the height of the mountain works out as 546 meters rounded to the nearest whole number.
Height of an object = (elevation of its top) - (elevation of its bottom)
By drawing a sketch from the given information then using triangulation and trigonometry the height of the mountain works out as 3704.435 meters rounded to three decimal places.
When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.
Using the right triangle created, you can find the height of the refrigerator by using the equation tan 65(degrees) = x/3. I will leave the actual calculations up to you!
Using trigonometry the height of the tower works out as 15.2 meters rounded to one decimal place.
There is a big difference between height and elevation. Height is how tall something is. Elevation is how far above sea level something is.
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
Using trigonometry the height of the tree works out as 15.15 meters rounded to two decimal places
Elevation means the height of something.
At the top. "Altitude" means elevation or height above a surface, or above sea level.
659.88 metersTan(32)=h/xTan(50.5)=h/yx+y=1600