math

posted by .

Draw a big diagram

You end up with a triangle with:

the horizontal side = 47 ft

the side representing the leaning pole ... call it a

and the angle opposite the pole side = 51°



The pole makes an angle of 7° with the vertical ... so the angle between to pole side and the 47ft side = 90 - 7 = 83°

So that make the angle opposite the 47 ft side = 180 - (51 + 83) = 46°


Now you can use the sine rule to find the length of the pole:

a/sin51° = 47/sin46

a = 47 * sin51 / sin46

a = 50.8 ft

so the length of the pole is 50.8 ft

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. MATHS-geometry

    how do you draw an obtuse angle triangle, construct the perpendicular bisector of each side Draw a triangle with one angle greater then 90 degrees. Find the midpoint of each side. Then draw a perpendicular to each side at each midpoint. …
  2. Pre-Calculus-Trig

    A 40 foot high flagpole sits on the side of a hill. The hillside makes a 17 degree angle with horizontal. How long is a wire that runs from the top of the pole to a point 72 feet downhill from the base of the pole?
  3. trig

    use an inverse trig function to write è as a function of x (There is a right triangle. The hypotenuse is 2. è is the angle between the base and the hypotenuse. The base/adjacent side of è is (x + 1) The side opposite è does not …
  4. Geometry

    One side of a triangle is x inches longer than another side. The ray bisecting the angle formed by these sides divides the opposite side into 3-inch and 5-inch segments. Find the perimeter of the triangle in terms of x. ( triangle …
  5. trigonometry

    two pieces of wire stretched from the top, M of a vertical pole to the points L and N on the horizontal ground. the angle of depression of L from N =65 degrees. N is on the opposite side of the pole(from left)at an angle of depression …
  6. math

    the perimeter of a triangle is 79.75 inches. the second side of the triangle is half as big as the first side. the third side is 7.25 in greater than the first side what is the length of the longest side of the triangle?
  7. math

    Two pieces of wire are stretched from the top M, of a vertical pole to the points L and N on the horizontal ground, The angle of depression of L from M is 65 degrees. N is on the opposite side of the pole (from L) at an angle of depression …
  8. Math help!

    Which of the triangles described in the table is a right triangle. Table Triangle Q, Side 1=25 Side 2=10 Side 3=15. Triangle R, Side 1=26 Side 2=20 Side 3=46. Triangle S, Side 1=25 Side 2=20 Side 3=1,025. Triangle T, Side 1=25 Side …
  9. Math

    Which of the triangles described in the table is a right triangle. Table Triangle Q, Side 1=25 Side 2=10 Side 3=15. Triangle R, Side 1=26 Side 2=20 Side 3=46. Triangle S, Side 1=25 Side 2=20 Side 3=1,025. Triangle T, Side 1=25 Side …
  10. trigonometry

    from a point A on the side of straight road, the angle of elevation of the top of the electric pole is 15°20'. from a point B on the same side of the road, the angle of elevation of the top of the pole is 10°52'. If the distance …

More Similar Questions