trig

how do you find algebraically the measure of the obtuse angle, to the nearest degree, that satisfies the equation 3 sec theta = 5

is it sec theta = 5/3 and then cos -1 (5/8) = 0.4

  1. 👍 0
  2. 👎 0
  3. 👁 88
  1. 3secØ = 5
    secØ = 5/3
    then cosØ = 3/5 , since secA = 1/cosA
    Ø = arccos 3/5 = appr53.13°
    but you wanted the obtuse angle, so
    Ø = 360-53.13 = 306.87° , because the cosine is positive in quadrant I and IV

    to the nearest degree it would be 307°

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    An isosceles, obtuse triangle has one angle with a degree measure that is 50% larger than the measure of a right angle. What is the measure, in degrees, of one of the two smallest angles in the triangle? Express your answer as a

    asked by G on March 23, 2015
  2. geometry

    find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct? Classify each triangle. 7. The measures of 2 angles are : 45 degree and 45 degree i got: acute 8. the

    asked by marko on March 21, 2012
  3. geometry

    find the value of x in each triangle: triangle x has 1 angle at 53 degree for value x i got: 63.5 degree is that correct? Classify each triangle. 7. The measures of 2 angles are : 45 degree and 45 degree i got: acute 8. the

    asked by marko on March 21, 2012
  4. geometry

    obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 of angle CBD is 4 more than angle BAD. Find the measure of angle ABC.

    asked by suzy on November 30, 2010
  5. geometry

    If an angle measures more than 90°, then it is an obtuse angle. What is the converse of this statement? A.If an angle does not measure more than 90°, then it is not an obtuse angle. B.If an angle is not an obtuse angle, then its

    asked by Superman on June 25, 2010
  1. math

    Which of these is the measure of an obtuse angle? A)45 degree B)90 degree C)120 degree D)180 degree

    asked by miki on October 27, 2011
  2. Geometry

    Given: obtuse triangle ABC with obtuse angle B. Point D on side AC such that angle BDC is also obtuse. Angle DAB is 2/3 of angle ABD. Angle BCD is 1/5 angle BDC and angle CBD is 4 more than angle BAD. What is the measure of angle

    asked by Kathy on December 12, 2010
  3. Geometry

    A wooden plate is shaped as a pentagon. The measure of one angle is 20°. The remaining interior angles are obtuse and of equal measure. What is the measure of each obtuse angle in the pentagon?

    asked by Kay on February 17, 2012
  4. geometry

    Find each measure using the given measures of triangleXYZ. Round angle measures to the nearest degree and side measures to the nearest tenth. Find measure of angle Y if y= 7,z=11,and the measure of angle Z=37.

    asked by tracy on October 18, 2010
  5. Math

    Hi I did my work and I just want to see if my answers are correct for tools of geometry. 1. Which is a set of collinear points? A. G,H,J B. H,L,G C. G,I,K*** D. K,J,G 2. Use the diagram to identify a segment parallel to A. HG***

    asked by :) on February 18, 2020

More Similar Questions