Pythagorean Theorem and Trig

Find  $x$  in  $\Delta PQR$  .

•  $13$  

•  $15$  

•  $16$  

•  $\sqrt{60}$  

Find  $x$  in  $\Delta STU$  .

•  $2$  

•  $8$  

•  $\sqrt{32}$  

•  $\sqrt{514}$  

Which set of measures could represent the lengths of the sides of a right triangle?

• 2, 3, 4

• 8, 10, 12

• 7, 11, 14

• 9, 12, 15

Find  $x$  in  $\Delta DEF$ .

HINT: Pictured is 45-45-90 triangle.

•  $6$  

•  $6\sqrt{3}$  

•  $6\sqrt{2}$  

•  $12$  

Find  $x$  in  $\Delta XYZ$ .

HINT: Pictured is 45-45-90 triangle.

•  $7.5\sqrt{3}$  

•  $15$  

•  $15\sqrt{3}$  

•  $30$  

Find  $x$  in  $\Delta HJK$ .

HINT: Pictured is 30-60-90 triangle.

•  $5\sqrt{2}$  

•  $10$  

•  $5\sqrt{3}$  

•  $15$  

Find  $x$  in  $\Delta ABC$ .

HINT: Pictured is 30-60-90 triangle.

•  $25$  

•  $25\sqrt{3}$  

•  $25\sqrt{2}$  

•  $100$  

Find  $x$  to the nearest tenth.

HINT: Use trigonometry.

•  $7.3$  

•  $18.4$  

•  $17.3$  

•  $47.1$  

Find  $x$  to the nearest degree.

HINT: Use inverse trigonometry.

•  $56º$  

•  $34º$  

•  $45º$  

•  $29º$  

Which is the angle of depression in the figure at the right?

•  $\angle AOT$  

•  $\angle TOB$  

•  $\angle AOB$  

•  $\angle BTO$