about 730 miles
What is the difference between tan number and swift bic ?
There is no difference in meaning between the two. It is usually spelled in lowercase, though (arc tan, or arctan).
Amy Tan uses dialogue in a fragmented and terse style to show the tension between the narrator and her mother. Through their interactions, the power dynamics and emotional distance between them are revealed, creating a sense of conflict and unease in their relationship. Tan's use of dialogue highlights the miscommunication and underlying emotions that contribute to the strained relationship between the characters.
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)
This can be solved using the Tangent trigonometric ratio. The larger angle of elevation is the closer angle. Let the horizontal distance from this point to the peak of the mountain be d metres; then: height = d × tan 22.3° The second point is a further 500 m from the peak with an elevation of 16.6°; this gives: height = (500 + d) × tan 16.6° As the height is the same at both measurements, these two values must be equal: → d × tan 22.3° = (500 + d) × tan 16.6° → d × (tan 22.3° - tan 16.6°) = 500 × tan 16.6° → d = 500 × tan 16.6° / (tan 22.3° - tan 16.6°) → height = d × tan 22.3° = 500 × tan 16.6° / (tan 22.3° - tan 16.6°) × tan 22.3° ≈ 546 m (Generally mountains are more than 600 m, so this is more of a hill.)
Using trigonometry its height works out as 63 meters to the nearest meter. -------------------------------------------------------------------------------------------------------- let: h = height building α, β be the angles of elevation (29° and 37° in some order) d be the distance between the elevations (30 m). x = distance from building where the elevation of angle α is measured. Then: angle α is an exterior angle to the triangle which contains the position from which angle α is measured, the position from which angle β is measured and the point of the top of the building. Thus angle α = angle β + angle at top of building of this triangle → angle α > angle β as the angle at the top of the building is > 0 → α = 37°, β = 29° Using the tangent trigonometric ratio we can form two equations, one with angle α, one with angle β: tan α = h/x → x = h/tan α tan β = h/(x + d) → x = h/tan β - d → h/tan α = h/tan β - d → h/tan β - 1/tan α = d → h(1/tan β - 1/tan α) = d → h(tan α - tan β)/(tan α tan β) = d → h = (d tan α tan β)/(tan α - tan β) We can now substitute the values of α, β and x in and find the height: h = (30 m × tan 37° × tan 29°)/(tan 37° - tan 29°) ≈ 63 m
It is: tan(65)*200 = 429 meters rounded
The closer the light source the larger is the shadow. You can understand this effect using the paraxial aproximation of light theory. If you draw lines from the light source to the edges of an object, there is an angle (call it alpha) between the these lines and the orthonormal vector to the object. The shorter the distance between the light and the object, the higher is alpha (because the height of the object is always the same): tan(alpha) = (height of the object)/(distance between light and object) Of course the relationship between the height of the shadow and the angle is the same: tan(alpha) = (height of the shadow)/(distance to the wall in which the shadow is proyected) So, the higher the angle alpha (and closer the distance between light and object), the heigher is the shadow.
Using trigonometry. By measuring a certain distance from the tree and knowing the angle of elevation you can use the tangent ratio: tan = opp (the height of the tree)/adj (the distance) Rearrange the formula: opp = adj*tan
The shortest distance between any two points, A and B, in a plane is the straight line joining them. Suppose, that the distance A to C and then C to B is shorter where C is any point not on AB. That would imply that, in triangle ABC, the sum of the lengths of two sides (AC and CB) is shorter tan the third side (AB). That contradicts the inequality conjecture.
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 = (53 ft × tan 31.4° × tan 26.4°)/(tan 31.4° - tan 26.4°) ≈ 140.87 ft
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