Radicals and Trig.

posted by .

I am catching up over summer on math units that I have to rewrite. In my textbook it asks me to find the base of two triangles and add them together. the smallest angle of the larger triangle is 30 degrees. The opposite side to the angle is 40cm. it gives me Tan 30 = 40/x
1/square root of 3 = 40/x
40 *(squareroot of 3)

My question is, how did my textbook get 1/sq.rt. of 3 as Tan 30?

  • Radicals and Trig. -

    Because that is the value of tan 30 . The short side length is half the hypotenuse for a 30-60-90 triangle.
    If the hypotenuse length is 1, the Second longest side length must be sqrt[3/4]
    That makes the tangent of 30 degrees 1/(sqrt3)

  • Radicals and Trig. -

    Thank you!
    Next question.

    What if instead they gave me the hypotenuse? 2/(sqrt2? Still tan 30.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. corollary to isosceles triangle theorem

    how to prove 1)the measure of each angle of an equilateral triangle is 60. 2)the bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base. Thanks. 1) The angles in any triangle have to add up …
  2. Math Question

    Which one of the following pairs of triangle must be similar?
  3. math

    make triangles and find the area of those triangles and then add em together. I need to find the area of a polygon,breaking into simpler parts. how do you do it?
  4. Math

    The area of a regular pentagon with a perimeter of 35 units. Join the centre to each vertex to form 5 eq Join the centre to each vertex to form 5 equal triangles. Consider one of those triangles the central angle is 72ยบ and each of …
  5. MATH!

    To get from his high school to his home, Jamal travels 5.0 miles east and then 4.0 miles north. When Shelia goes to her home from the same high school she travels 8.0 miles east and 2.0 miles south. What is the measure of the shortest …
  6. vertex angle

    The three angles add to 180 degrees. Also , the two base angles of the isoscele triangle are equal, .. Set those base angles equal, and solve for x. Put that value of x into the given, and compute the base angles. The third angle will …
  7. physics and geometry

    ok proving that thest two angles are equal Gesh almost done lol :O h t t p : / /w w w .a n g e l f i r e. c o m / s ta r s / d h s ph y s i c s / f r ic t i o n . j p g ok How to prove this?
  8. math

    If you have a trapezoid that is divided into two triangles to find the area would you find the area of each triangle then add the two areas together?
  9. math

    The sum of the 3 angles of a triangle is 180 degrees. In triangle PQR, the largest angle is twice the size of the smallest angle. The remaining angle is 16 degrees larger than the smallest. Write and solve an equation to find the size …
  10. Pre-Calculus follow up question Reiny

    Determine the number of triangles that can be formed with the given information. and if it forms two possible triangles solve all unknown angles and sides Angle A=116 degrees a=10 b=11 but if you add 81.4 (measure of angle B) plus …

More Similar Questions