Unit 3, Lesson 8
Sine and Cosine in the Same Right Triangle
Integrated Math 2
Practice
Problem 2
Write 2 expressions that can be used to find the value of \(x\).
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Write 2 expressions that can be used to find the value of \(x\).
Andre and Mai are discussing how to solve for side \(AB\). Andre thinks he can use the equation \(\tan(12)=\frac{x}{6}\) to solve for \(AB\). Mai thinks she can use the equation \(\tan(78)=\frac{6}{x}\) to solve for \(AB\). Do you agree with either of them? Show or explain your reasoning.
Technology required. Find the unknown measurements in triangle \(ABC\).
Right triangle \(ABC\) is shown.
Write 2 expressions that are equal to the length of side \(BC\).
Priya is playing handball and wants the ball to bounce off wall \(CB\) and land at \(D\). The court is 20 feet wide and 34 feet deep. Where on the wall should she aim if she's standing at point \(A\)?
Rectangular handball court with a width of 20 units. Points C E and B are along the top of the court in order. Point D is on the left side of the court and point A is on the right side. From Point D to the end of the court is 27 units and A B is 12 units. The second half of the court is divided into 2 sections 9 units in length. Angle D C E and A B E are right angles. A dotted line is drawn from point D to point E to point A creating triangle D C E and E B A.