Determine whether a triangle with the given side lengths is a right triangle.

Check all correct answers.

Use the above right triangle, with side lengths a, b, and c. The sinx = ______.

Find $\cos\theta$ , where  $\theta$  is the angle shown.  Give an exact value, not a decimal approximation.

 $\tan\ 30\degree\ =\ _{ }$  ______.
Use a calculator to evaluate the expression.  Round your answer to the nearest hundredth.

 $\sin\ 52\degree=$  ________
Use a calculator to evaluate the expression.
Round your answer to the nearest hundredth.

 $\cos\ 89\degree=$  ________
Use a calculator to evaluate the expression.
Round your answer to the nearest hundredth.

Find $\tan\theta$ , where  $\theta$  is the angle shown.  Give an exact value, not a decimal approximation.

Solve for x in the triangle. Round your answer to the nearest tenth.

A ladder leans against the side of a house. The angle of elevation of the ladder is $61\degree$ , and the top of the ladder is 15 ft above ground.  Find the distance from the bottom of the ladder to the side of the house.  Round your answer to the nearest tenth.

A kite is flying 84 ft off the ground, and it string is pulled taut. The angle of elevation of the kite is $65\degree$ .  Find the length of the string.  Round your answer to the nearest tenth.