End of Unit

A kite flying in the air has 12-ft line attached to it. Its line is pulled taut and casts an 11-ft shadow. Find the height of the kite. If necessary, round your answer to the nearest tenth place.

(a)  

Determine whether the triangle is an acute, obtuse, or right triangle.

• Acute Triangle

• Obtuse Triangle

• Right Triangle

Determine whether the triangle is an acute, obtuse, or right triangle.

• Acute Triangle

• Obtuse Triangle

• Right Triangle

Find the exact value of "a" and "d"

• $a=\frac{3}{\sqrt{2}}\ \ \ \ \ d=7\sqrt{3}$

• $a\ =3\sqrt{2}\ \ \ \ \ d=14$

• $a=3\ \ \ \ d=7\sqrt{3}$

• $a\ =\frac{3}{\sqrt{2}}\ \ \ \ \ d\ =\ 7$

A right triangle has side lengths 8, 15, and 17. Use these lengths to find the ratios cos A, tan A, and sin A.

Note: you are not looking for the missing angle just writing the ratios

(a)  

Use your calculator to evaluate each of the following. Round your answers to the nearest tenth place.

 $\cos\ 57\degree\ =$  

 $\sin\ 78\degree\ =$  

(a)  

Find the  $\tan\theta$  , where the angle is shown. 

• 61.92

• 0.03

• 65

A ladder leans against the side of a house. Find the length of the ladder. Round your answer to the nearest tenth place.

(a)  

Find x. Round your answer to the nearest tenth place.

(a)  

Simplify the radical  $\sqrt{25}$  

(a)