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Using the sine rules in trigonometry the height of the mountain works out as 3704 meters in height to the nearest whole number.

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Q: What is the height of a moutain when from the top of a tower which is 180 meters high the angle of elevation is 25.3 degrees and its bottom angle of elevation is 26.42 degrees?
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How tall is a building with a 73 ft shadow when elevation of the sun is 31 degrees?

(Height of the building)/(length of the shadow) = tangent of 31° .Height = 73 tan(31°) = 43.9 feet (rounded)


A point is 200 feet from a tower The angle of elevation to the top is 18 degrees and the angle of elevation to the bottom is 15 degrees I think the tower is on a hill how tall is the tower?

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!


The shadow of a vertical tower is 58 feet long when the angles of elevation of the sun is 36 degrees. what is the height of the tower to the nearest foot?

tan(36) = H/58 where H is the height of the tower. So H = 58*tan(36) = 42 feet.


What is the height of a hill when the angle of elevation to the top of the hill from a point is 50 degrees and is 30 degrees from a point 40 feet farther away from the base of the hill?

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


What does 2 degrees equal in height per foot?

0.42 inches per foot.

Related questions

What is the height of a moutain when the distance between its angles of elevation which are 16.6 degrees and 22.3 degrees is 500 meters on level ground?

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.


What is the equation for height in physics?

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


What is the height of a mountain when from the bottom of a tower 180 meters in height the angle of elevation is 26.42 degrees and from its top the angle of elevation is 25.3 degrees?

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 is the shadow equal in length to your height?

When the angle of elevation equals 45 degrees. tan-1(1) = 45 degrees.


A refrigerator has a width of 3 feet The angle of elevation from the bottom corner to the opposite corner is 65 What is the height of the refrigerator?

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!


What is the height of a tower when the distance between its angles of elevation are 32 degrees and 43 degrees is 8 meters?

Using trigonometry the height of the tower works out as 15.2 meters rounded to one decimal place.


What is the difference between height and elevation?

There is a big difference between height and elevation. Height is how tall something is. Elevation is how far above sea level something is.


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 of a tree when its angles of elevation are 32 degrees and then 45 degrees taken at 8 meters apart?

Using trigonometry the height of the tree works out as 15.15 meters rounded to two decimal places


What does the elevation mean?

Elevation means the height of something.


Is altitude greater at the top or bottom of the mountain?

At the top. "Altitude" means elevation or height above a surface, or above sea level.


Two observers 1600 meters apart the angles of elevation to a helicopter hovering over the road between them. The angles of elevation are 32 degrees and 50.5 degrees. what is the height?

659.88 metersTan(32)=h/xTan(50.5)=h/yx+y=1600