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The answer, assuming that 120 is degrees and not radian is -square root of 3.
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∙ 13y ago
Anonymous
negative of square root of three
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Angle of elevation of top of vertical cliff as seen from boat 120m away is 32degrees. Angle of elevation of top of flagpole at edge of cliff as seen from boat is 37degrees. Find the height of flagpole?
Tangent(theta) is sine over cosine, or y over x. x is 120. Theta is 32 and 37. y1 is height of cliff, and y2 is height of cliff plus flagpole.Tan(32) = y1 / 120, so y1 = 120 tan(32) = 75.Tan(37) = y2 / 120, so y2 = 120 tan(37) = 90.Height of flagpole is y2 - y1 = 90 - 75 = 15.All results rounded to nearest integer.
What is tan20tan32 plus tan32tan38 plus tan38tan20?
This may not be the most efficient method but ... Let the three angle be A, B and C. Then note that A + B + C = 20+32+38 = 90 so that C = 90-A+B. Therefore, sin(C) = sin[(90-(A+B) = cos(A+B) and cos(C) = cos[(90-(A+B) = sin(A+B). So that tan(C) = sin(C)/cos(C) = cos(A+B) / sin(A+B) = cot(A+B) Now, tan(A+B) = [tan(A)+tan(B)] / [1- tan(A)*tan(B)] so cot(A+B) = [1- tan(A)*tan(B)] / [tan(A)+tan(B)] The given expressin is tan(A)*tan(B) + tan(B)*tan(C) + tan(C)*tan(A) = tan(A)*tan(B) + [tan(B) + tan(A)]*cot(A+B) substituting for cot(A+B) gives = tan(A)*tan(B) + [tan(B) + tan(A)]*[1- tan(A)*tan(B)]/[tan(A)+tan(B)] cancelling [tan(B) + tan(A)] and [tan(A) + tan(B)], which are equal, in the second expression. = tan(A)*tan(B) + [1- tan(A)*tan(B)] = 1
Which is greater tan 1tan2 tan3 .arrange them in descending order?
If the angles are measured in degrees or gradians, then: tan 3 > tan 2 > tan 1 If the angles are measured in radians, then: tan 1 > tan 3 > tan 2.
How can arccot of tanx be simplified?
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)
What is tan 20?
tan 20 = 2.23716094
What is 120 decimal as a fraction in simplest form?
120 is an integer and not a fraction. However, it can be expressed in rational form as 120/1 which cannot be simplified.
What is half of 120 in fraction form?
60/120
What is 0.8 of 120 written as a fraction in simplest form?
0.8 of 120 is an integer, not a fraction.
How do you 120. Into a fraction?
120 is an integer and not a fraction. However, it can be expressed in rational form as 120/1 which cannot be simplified.
What is 34 over 120 in fraction form?
34/120
What is the fraction of ten twelves In its simplest form?
Ten twelves is 120. 120 is an integer and not a fraction. However, it can be expressed in rational form as 120/1. And that is its simplest form.
.120 as a fraction?
It is 3/25 as a fraction in its simplest form
What is 109 over 120 in its simplest form?
Since the numerator of the fraction is prime, and not a factor of the denominator, the proper fraction 109/120 is already expressed in its simplest form.
What is 120 to 30 as a fraction in simplest form?
Expressed in its simplest form, 120/30 is equal to 4, or, expressed as a fraction, 4/1.
What fraction of 100 is 120?
It is: 120/100 or 6/5 in its simplest form
What is 120 percent as a fraction in simplest form?
120% simplifies to: 1 1/5(improper fraction 6/5)
How do you write 120 percent as a fraction in simplest form?
120% = 120/100 = improper fraction 6/5 = 1 1/5
