Trigonometry Review

Find the value of x in the triangle (round answer to one decimal).

Tags

CCSS.HSG.SRT.C.8

Find the value of $\theta$ in the triangle (round answer to one decimal).

Tags

CCSS.HSG.SRT.C.8

Find the value of x in the triangle (round answer to one decimal).

Tags

CCSS.HSG.SRT.C.8

Find the value of x in the triangle (round answer to one decimal).

Tags

CCSS.HSG.SRT.C.8

If  $\tan\theta=\frac{12}{35}$ , what is  $\sin\theta$  and  $\cos\theta$  ?

•  $\sin\theta=\frac{12}{37}\ \ \&\ \cos\theta=\frac{35}{37}$  

•  $\sin\theta=\frac{12}{47}\ \&\ \cos\theta=\frac{35}{47}$  

•  $\sin\theta=\frac{35}{37}\ \&\ \cos\theta=\frac{12}{37}$  

•  $\sin\theta=\frac{37}{12}\ \&\ \cos\theta=\frac{37}{35}$  

Tags

CCSS.HSF.TF.C.8

If  $\sec\theta=\frac{\sqrt{6}}{2}$ , what is  $\sin\theta$  and  $\tan\theta$  ?

•  $\sin\theta=\frac{\sqrt{6}}{3}\ \ \&\ \tan\theta=\sqrt{2}$  

•  $\sin\theta=\frac{1}{\sqrt{3}}\ \&\ \tan\theta=\frac{1}{\sqrt{2}}$  

•  $\sin\theta=\frac{\sqrt{3}}{3}\ \&\ \tan\theta=\frac{\sqrt{2}}{2}$  

•  $\sin\theta=\sqrt{3}\ \&\ \tan\theta=\sqrt{2}$  

Tags

CCSS.HSF.TF.C.8

A helicopter flying at an altitude of 5,600 feet spots a landing pad below. Find the angle of depression from the helicopter to the pad if the horizontal distance between them is 8,000 feet.

• $\theta=35\degree$

• $\theta=44.4\degree$

• $\theta=45.6\degree$

• $\theta=55\degree$

Tags

CCSS.HSG.SRT.C.8

A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 40°. To the nearest foot, what is the height of the top section of the tower?

• 113.6 ft

• 40.6 ft

• 73 ft

• 32.4 ft

Tags

CCSS.HSG.SRT.C.8

Is this triangle a 30-60-90 triangle? Select Yes or No and then select how you know.

• Yes

• No

• Using the 30-60-90 relationships

• Solving for angle A or B using a trig function

• Using the Pythagorean Theorem

Tags

CCSS.HSG.CO.C.10

Find the value of x:

• x = 18

• $x=6\sqrt{3}$

• $x=\sqrt{6}$

• $x=3\sqrt{6}$

Tags

CCSS.HSG.SRT.C.8