Trigonometric functions

1)I have a right triangle. the hypotenuse is 7 the opposite leg is x and an angle is 32.

Which equation can be used to find x?
I chose D

2)A right triangle 26 is the hypotenuse,opposite leg is 15.

Find A to the nearest degree.
I chose C

  1. 👍 0
  2. 👎 0
  3. 👁 64
asked by Jon
  1. 1 disagree
    Sin 32 = opposite / hypotenuse
    sin 32 = x / 7

    sin A = 15/26
    sin A = .577
    A = 35.23 agree choose C

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. For question 1, we need a trig function that equals opposite over hypotenuse.

    Which one?

    Tangent = OPP/HYP

    To find x we use CHOICE (C).


    For question 2, we are looking for angle A.

    We use tan(A) = OPP/HYP

    tan(A) = 15/26

    Since we are looking for an angle, we MUST use the inverse key. Keep that in mind!

    Let arc = INVERSE

    Then tanarc = the inverse of tangent

    A = tanarc(15/26)

    A = 29.98163937

    When we round the decimal number above to the nearest degree, we are really rounding the whole number (our 29) to the nearest tens place.

    What is 29 rounded to the neaesrt tens place?

    Final Answer: 30....Choice (B)


    1. 👍 0
    2. 👎 0
    posted by Guido
  3. Jon,

    I made a mistake.


    sine = OPP/HYP NOT tangent.

    It was a simple mistake.

    Damon got it right.

    Thanks, Damon!

    1. 👍 0
    2. 👎 0
    posted by Guido

Respond to this Question

First Name

Your Response

Similar Questions

  1. Evaluation-repost

    Reposting because it has gone down to the second page! Evaluate 1. sin(tan inverse sqrt(x^2-2x)) 2. tan (sec inverse 3y) For 1. draw a right triangle and label the opposite leg sqrt(x^2-2x), the adjacent side 1 and the hypotenuse

    asked by Jen on October 23, 2006
  2. Algebra 2 Honors

    Hi, I'd like some help with one of the questions on my math homework. It has to do with a right triangle. I'm not sure how to set it up or if I should use the pythagorean theorem. This is the question: Vista county is setting

    asked by Spectrum on March 1, 2015
  3. algebra

    One more triangle question,please. In this triangle,the short leg is x and the longer leg is 1/2x + 11. If the hypotenuse is 2x + 1, what are the lengths of each side of this right triangle? Please show all calculations. Short leg

    asked by Anneliese on January 23, 2017
  4. math

    I have 14 questions and I was wondering if someone could check my answers. This is a do or die situation. If I don't get an A, I may not get to graduate. I really appreciate you taking your time to double check theses for me.

    asked by Brittany on April 2, 2011
  5. algebra

    Please show solution to this problem. In triangle A, the longer leg is 6 more than the shorter leg and the hypotenuse is 6 more than the longer leg. Find the lengths of each side of this right triangle. Show all calculations.

    asked by Anneliese on January 23, 2017
  6. Geometry

    I need help in this problem: A 14-foot ladder is leaning against a house so that its top touches the top of the wall. the bottom of the ladder is 8 feet away from the wall. which of these can be used to find the height of the

    asked by Alex on March 27, 2014
  7. Math

    Each triangle is a 30-60-90 triangle, and the hypotenuse of one triangle is the longer leg of an adjacent triangle. The hypotenuse of the largest triangle is 8 centimeters. What is the number of centimeters in the length of the

    asked by Jerry on December 29, 2015
  8. Geometry

    Which is the hypotenuse-leg theorem? A. If the hypotenuse and one leg of a right triangle are similar to the corresponding parts of another right triangle, then the triangles are congruent. B. If the hypotenuse is congruent to the

    asked by Superman on June 29, 2010
  9. Math

    Jeremy loves right triangles that have side length 1. In fact, he loves to combine them so that the hypotenuse of one becomes the leg of the next. If the longer leg of the first triangle is sqrt 11, what will be the hypotenuse of

    asked by D on November 14, 2016
  10. math

    Jeremy loves right triangles that have side length 1. In fact, he loves to combine them so that the hypotenuse of one becomes the leg of the next. He does this over and over to create beautiful pictures like this: ASY FAILED If

    asked by Jom on July 18, 2019

More Similar Questions