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At a certain distance the angle of elevation to the top of a building is 60 From 40ft further back the angle of elevation is 45 Find the height of the building?
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the further the angle down the faster it will burn, but the wax of the furthest down one drips on the flame so it goes out. But it is still the fastest
Solve 2sinx-sin3x equals 0?
2sinx - sin3x = 0 2sinx - 3sinx + 4sin3x = 0 4sin3x - sinx = 0 sinx(4sin2x - 1) = 0 sinx*(2sinx - 1)(2sinx + 1) = 0 so sinx = 0 or sinx = -1/2 or sinx = 1/2 It is not possible to go any further since the domain for x is not defined.
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There is not much that can be done by way of simplification. Suppose arccot(y) = tan(x) then y = cot[tan(x)] = 1/tan(tan(x)) Now cot is NOT the inverse of tan, but its reciprocal. So the expression in the first of above equation cannot be simplified further. Similarly tan[tan(x)] is NOT tan(x)*tan(x) = tan2(x)
How do you solve 3 sin theta 1.5 when 0 isless than or equal to theta which is less than or equal to 4 radians?
I am assuming that the equation is 3*sin(t) = 1.5 even though the equality sign is not visible - due to the browser limitations. Then sin(t) = 1.5/3 = 0.5 So t = sin-1(0.5) which gives the principal value of t = 0.5236. The next value of t, in the domain, is pi - 0.5236 = 2.618 radians. There are no further values in the specified domain.
What is sine theta plus 2 cosine squared theta?
I shall use x instead of theta since I cannot be bothered to paste it at each step.sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.I shall use x instead of theta since I cannot be bothered to paste it at each step.sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.I shall use x instead of theta since I cannot be bothered to paste it at each step.sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.I shall use x instead of theta since I cannot be bothered to paste it at each step.sin(x) + 2*cos2(x) = sin(x) + 2*[1 - sin2(x)] = sin(x) + 2 - 2sin2(x) which cannot be simplified further.
What does it mean when the contour lines are father apart?
When contour lines are farther apart, it indicates a gentle slope or gradual change in elevation in the terrain. This means the change in elevation over a given distance is more gradual.
What is the approximate height of a building when the angle of elevation at the top of a building is 34 degrees and at a point 80 feet closer the angle of elevation is 45 degrees?
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 = (80 ft × tan 45° × tan 34°)/(tan 45° - tan 34°) ≈ 165.78 ft
What is the rule of the thumb and where does it come from?
The Texas Rule of Thumb is: The further you travel Northwest, the higher the elevation and lower the precipitation, the further you travel Southeast, the lower the elevation, and higher the precipitation.
Is a star with no measurable parallax is very close to Earth.?
No, if you can measure no parallax, the star is far away - further than a certain distance.
What is the comparative degree of far?
The comparative degree of "far" is "farther" when referring to physical distance or "further" when referring to metaphorical distance or degree.
How do scientists use computers to measure distance from stars?
From what I remember in two geology classes, scientists measure the distance between a star and Earth by comparing "red shift," a shifting of certain bands of light toward the "red" end of the spectrum. The further the shifting, the greater the distance.
What is the height of a building if the angle of elevation to the top from a point on the ground is 31.4 degrees and from 53 feet further back it is 26.4 degrees?
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
What is the land elevation along the coastal plain between?
The land elevation along the coastal plain varies but generally ranges from sea level to a few hundred feet above sea level. The elevation gradually increases as you move further inland from the coast.
Is pressure higher at a lower or at a higher elevation?
Pressure decreases with increasing elevation, so pressure is higher at lower elevations and vice versa. This is because the density of the atmosphere decreases as you move further away from the Earth's surface.
What are ground and excited states?
In an atom, the electron or electrons have a certain normal distance from the atomic nucleus, and when they are at the normal distance, that is described as the ground state. If energy is added to an electron it will move further from the nucleus, or depending upon the amount of energy, may leave the atom entirely. If it moves further from the nucleus it is in an excited state. If it leaves the atom it is ionized.
What the difference between convergent and divergent?
Two paths which are convergent will come together in the distance. Two paths which are divergent will get further and further apart in the distance.
How close the contour lines are is an indication of an area's?
elevation
