ABOUT 2O FEET
If each base angle is 56°, then the vertex angle is 68°.If both base angles combined total 56°, then the vertex angle is 124°.
Depends on the angle between the side and the base. The smaller the angle the larger the height.
One of the base angle is 58 deg so the other base angle is 58 deg. Sum of all three angles is 180 deg so the third angle (the vertex angle) is 180 - 58 - 58 = 64 degrees.
20 degrees
you need the apex angle, call it n. Each base angle is one-half of (180 - n)
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)
6
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.
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.
height = 15 ft base = 20 ft angle of elevation = arctan (15/20) = 36.87 degrees
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.
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.
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
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.
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 bridge to the point of suspension?
90 degrees. This is an isosceles right triangle, standing on its hypotenuse.