math problem?

Question

A man is walking along a straight road. He notices the top of a tower subtending an angle A = 60o with the ground at the point where he is standing. If the height of the tower is h = 15 m, then what is the distance of the man from the tower?

Answer 1

Let position of man be at point A on the ground, the base of the tower be point B & the top of the tower be point C.
So we get a triangle which is right angled at vertex B.

Given angle BAC=60o.
l(BC)=15m
l(AB) is the distance between man from the tower.

Now,
tan(A)=l(BC)/l(AB) ....... opp side/adjacent side
thus
tan60=15/l(AB)
tan60=1.732

l(AB)=8.66 m
Thus 8.66 m is the distance between man from the tower.

Answer 2

Tan 60° = opposite side / adjacent side
Tan 60° = 15 / x = √3
x = 15/√3 = 15√3/3 = 5√3 = 8.66 m

Answer 3

sen 60º = √3/2
√3/2 = height/hyp
√3/2 = 15/hyp
√3 hyp = 15 x 2
hyp = 30 over √3
hyp = 30\/3 over (√3)²
hyp = 30√3 over 3
hyp = 10√3 m
Answer: The distance of the man from the tower is 10√3 m or approx. 17,32m.

Don't use tangent. We just have height and hypotenuse. Otherwise, you must use sen. For tangent you need have the height or the base - less hypotenuse.
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Answer 4

Let

o = opposite side

15 = the opposite side

a = adjacent side

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solving for adjacent side

tanθ = o/a

tan60° = 15/a

a(tan60°) = a(15/a)

a(tan60°) = 15

a(tan60°)/(tan60° = 15 / (tan60°)

a = 15/tan60°

a = 15 / 1.732050808

a = 8.660254038 m

a = 8.88 m Rounded to two decimal points

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The distance from the man to the tower is 8.66 m

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Answer 5

Draw a triangle that includes the pole, a line from the man to the top of the pole, and the line along the ground from the man to the bottom of the pole. Then remember that tanø = side opposite over side adjacent.

Answer 6

very purpose of Trigonometry is to find solution to such problems.
Here, adjacent side of the tan function will be the distance between the tower and the man.
Therefore, d = 15 cot(60)=8.66 m

Answer 7

you have formula in rectangle triangle

1/tg 60° = h/d 1.73

so d = h*1.73 = 26 m

Answer 8

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that's different......sorry.....

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Answer 9

my maths are very different ....sorry....i canot do it(answer it)