Geometry - Unit 4 Quiz

Given the following image, find the area of the triangle.

• Area: 9

• Area: 18

• Area: 36

• Area: 51

Tags

CCSS.HSG.SRT.D.9

Select the answers that are true about the following image.

• sin(34) = b/c

• cos(36) = c/a

• sin(56) = b/a

• tan(34) = b/a

• cos(56) = b/a

Tags

CCSS.HSG.SRT.C.6

Is this Vaxu?!

• Yes, 100%!

• :mewing: :nods:

• No, it clearly is!

• Do chickens lay eggs.

Thanh travels to Dubai and sees the Burj Khalifa | He looks up at an angle of 45* and the Burj Khalifa is 828 meters, how far away is Thanh from the building (in meters)?

• Thanh is 327.83 meters away.

• Thanh is 1362.89 meters away.

• Thanh is 828 meters away.

• Thanh is 326.1293 meters away.

Tags

CCSS.HSG.SRT.C.8

Thanh travels to Mars and sees Mt. Olympus | He was 32 miles away when he looked up, and the mountain is 16 miles tall. What was the angle when Thanh looked up (to the nearest whole)?

• 27*

• 9*

• 54*

• 36*

Tags

CCSS.HSG.SRT.C.8

Thanh travels to Dubai and sees the Burj Khalifa | He looks up at an angle of 45* and the Burj Khalifa is 828 meters, how far away is Thanh from the building (in meters)?

---

Based off of this, how can we write a "function" that will automatically find us the distance? And what is the value of Theta?

• tan(45) = Height/Distance

  ---

  The value of Theta is 55*.

• tan(Theta) = Distance/Height

  ---

  The value of Theta is 45*.

• Distance = Height/tan(45)

  ---

  The value of Theta is 55*.

• Distance = Height/tan(Theta)

  ---

  The value of Theta is 45*.

Tags

CCSS.HSG.SRT.C.8

Given the image and objectives, which of the following is true?

• - What makes these triangles similar?

• - What ratio is equal to a/c?

• - Given x/z = 0.6, what would Theta be equal to (to the nearest degree)?

• These triangles are similar by ASA Theorem.

  ---

  y/z

  ---

  Theta is 30*.

• These triangles are similar by AA Theorem.

  ---

  x/z

  ---

  Theta is 37*.

• These triangles both have a right angle.

  ---

  x/z

  ---

  Theta is 30*.

• These triangles are both right triangles.

  ---

  y/z

  ---

  Theta is 60*.

Tags

CCSS.HSG.SRT.B.5