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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)


A building is 120 feet high. at a certain distance away from the building. an observer notices the angle of elevation to the top of the building is 41 degrees. how far is the observer from the base of the building?

6


A picture 40 cm high is placed on the wall with its base 30 cm above the eye level of an observer if the observer is approaching 40cmsec how fast is the measure of the angle?

To find how fast the angle of elevation is changing as the observer approaches the wall, we can use the relationship between the height of the picture, the distance from the observer to the wall, and the angle of elevation. The angle can be represented using the tangent function: (\tan(\theta) = \frac{h}{d}), where (h) is the height of the picture (40 cm), and (d) is the horizontal distance from the observer to the wall. As the observer approaches the wall at a rate of 40 cm/sec, we can differentiate the tangent function to find the rate of change of the angle (\frac{d\theta}{dt}) in terms of (d) and the height (h). The exact rate will depend on the initial distance (d) at which the observer starts.


How do you find angle of elevation when given hypotenuse and a base?

Given the hypotenuse and the base ...-- divide the (base) by the (hypotenuse); get a number less than '1'.-- the number is the 'cosine' of the elevation angle.-- either take the cos-1 of the number on a calculator, which is the angleOR-- look up the number in a table of cosines and see what angle it represents.


What is the angle of elevation for the ramp that is 20 feet away from the wall and 15 feet tall?

height = 15 ft base = 20 ft angle of elevation = arctan (15/20) = 36.87 degrees


Simple angle of elevation word 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.


What is the change of elevation from the base of the mountain to the top?

The change in elevation from the base of the mountain to the top is known as the mountain's elevation gain. It is calculated by subtracting the base elevation from the summit elevation.


How tall is the tree if it have a horizontal distance of 45m an a elevation of 26 degree?

If you are standing 45m from the base of the tree and an imaginary lines from the tip of the tree to the ground forms a 26° angle with the ground, then the tree is 21.95 m tall. (45m) * tan(26°) = 21.95 m


Why o Can a clinometer be used to measure the depth of something?

A clinometer measures angles of elevation or depression. By using trigonometry and measuring the angle formed between the observer, the object's base, and the top of the object, the depth of objects like a well or a hole can be estimated. This method is based on the principles of right-angled trigonometry.


A surveyor stands on the roof of a building. The angle of elevation to the roof of the building next door is 25°. The angle of depression to the base of that building is 44°. The buildings are forty feet apart?

57 ft


A suspension bridge is supported from a height of 30 feet. The length of the wire used to suspend the bridge from the ground to the top is 65 feet. What is the angle of elevation from the base of the?

A suspension bridge is supported from a height of 30 feet. The length of the wire used to suspend the bridge, from the ground to the top, is 65 feet. What is the angle of elevation from the base of the bridge to the point of suspension?


The vertex angle of an isosceles triangle is twice as large as one of the base angles Find the measure of the vertex angle?

90 degrees. This is an isosceles right triangle, standing on its hypotenuse.