Given: ∆PQR, m∠R = 90°
m∠PQR = 75°
M ∈
, MP = 18
m∠MQR = 60°
Find: RQ

asked by Anonymous
  1. from what you know about 30-60-90 right triangles, if we let x = RQ then
    MR = x√3

    Now, we have

    (18+x√3)/x = tan 75°

    So solve for x, which is RQ.

    It might help if you recall that tan75° = 2+√3

    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ M is on segment PR 9sqrt3 is wrong(the system did not take it)
  2. math

    Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
  3. math

    hi I reposted this question to see if I would get the answer the person who posted this one last time says that 9sqrt3 is wrong (and I check if they were right) do here is the question again Given: ∆PQR, m∠R = 90° m∠PQR =
  4. geometry

    The line QS bisects <PQR, m<PQR = (x2), and m<PQS = (2x +6). Find all the possible measures for <PQR.
  5. Geometry

    Point T is in the interior of ∠PQR. Find the m∠PQR if the following conditions apply. The m∠PQR = (10x - 7)°, the m∠RQT = 5x°, and the m∠PQT = (4x + 6)° The m∠PQR is=
  6. Geometry

    I need help with this paragraph proof I have no clue what I am doing. Given: QS bisects angle PQR. Angle PQS equals 45 degrees. Prove: PQR is a right triangle. I really need help, I don't want to fail.
  7. Math

    If triangle PQR is 14.5 then PQR=71, QPR =57 find the lengths of the sides PR and PQ
  8. Math

    Diagram of a triangle PQR when QR is 14.5 <PQR=71 <QPR=57,find the lengthr of PR and PQ
  9. Math

    PQR is a right -angled triangle with ^PQR=90° ^QPR=30° and |PQ|=50cm find to de nearest whole namba I.|QR| ii.|PR|
  10. 8th Grade Pre-Algebra

    Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0). Plot triangles PQR and P'Q'R' on your own

More Similar Questions