QUESTION 1.

Joshua wants to draw ◢ ABC such that the conditions shown are true.

·         The area of ◢ ABC is not 30 square units.

·         Tan A = 2.4 =? / ?  

      Draw one possible ◢ ABC below. Label the vertices of the triangle and the side lengths.  Show work verifying area and tan meeting the above criteria.

 Show work as part of answer.  You have to draw and label the triangle above

Question 2.

.Katie’s is building a barn, as shown.  She wants the roof height to be between 4 and 6 feet.  She must decide the angle measure to use for the pitch, or slant, of the roof when the slant height is y feet.  Write an inequality Katie can use to ensure that her roof will be within the necessary height range.