the answer would be...13.98922974, which of course needs to be simplified. i actually had a similar equation to this except with different numbers. you need to use tangent to figure this out.
A simple angle of elevation problem...You want to find out the height of a tree. You measure the distance from you to the base and find that it is 100 feet. You measure the angle of elevation of the top and find that it is 30 degrees. You are six feet tall. How tall is the tree?Answer: The tree is 64 feet tall. Its height is tangent 30 times 100 + 6.
Tan60= 25/Height. Height = 25/Tan60 = 14.43
Providing that the pole is on level ground you have the outline of a right angled triangle with an adjacent side of 92 ft (the shadow of the pole) and a opposite side of 60 ft (the height of the pole). To find the angle of elevation use the tangent ratio. Tangent = Opposite/Adjacent Tangent = 60/92 = 0.652173913 Tan-1(0.652173913) = 33.11134196 degrees Therefore the angle of elevation is 33o correct to two significant figures.
Use the tangent ratio: 23*tan(23) = 9.762920773 Answer: 10 meters to the nearest meter
9.3
i dont care about math even though i use it.
Using trigonometery if you know the length of its shadow and angle of elevation
Angle of elevation: tangent angle = opposite/adjacent and by rearranging the given formula will help to solve the problem
A simple angle of elevation problem...You want to find out the height of a tree. You measure the distance from you to the base and find that it is 100 feet. You measure the angle of elevation of the top and find that it is 30 degrees. You are six feet tall. How tall is the tree?Answer: The tree is 64 feet tall. Its height is tangent 30 times 100 + 6.
You can use trigonometry to find the angle of elevation. Let x be the distance from the tip of the shadow to the base of the pole and the height of the pole be y. Then, tan(60 degrees) = y/x. Given that the height of the pole is 12 feet, you can solve for x to find the angle of elevation.
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.
To find the angle of elevation of a rod given the ratio of its height to the length of its shadow as (1 : \sqrt{3}), we can use the tangent function. The tangent of the angle of elevation ( \theta ) is equal to the ratio of the opposite side (height of the rod) to the adjacent side (length of the shadow). Therefore, ( \tan(\theta) = \frac{1}{\sqrt{3}} ). This corresponds to an angle of ( 30^\circ ).
To find the height of the tree, you can use trigonometry, specifically the tangent function, which relates the angle of elevation to the height and distance from the tree. The formula is: height = distance × tan(angle). In this case, height = 14 feet × tan(72 degrees), which is approximately 14 feet × 3.0777, resulting in a height of about 43.1 feet.
Using the formula: tangent = opposite/adjacent whereas tangent angle = height/ground distance, will help to solve the problem
Tan60= 25/Height. Height = 25/Tan60 = 14.43
the angle of elevation would be the angle between the horizon and the line of sight to whatever object you are measuring to. Lets say for instance that you see a plane, and you determine that it has an angle of elevation of 30 deg. This means that from the horizon, you would need to look up at an angle of 30 degrees to see that plane. below I linked to a diagram which illustrates it quite well. Hope this helped!
To find the angle of elevation from the top of the Washington Monument to a point 2,640 feet away, you can use the tangent function in trigonometry. The angle of elevation ( \theta ) can be calculated using the formula: ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} ), where the opposite side is the height of the monument (555 feet) and the adjacent side is the distance from the monument (2,640 feet). Thus, ( \theta = \tan^{-1}\left(\frac{555}{2640}\right) ), which gives an angle of approximately 12.6 degrees.