10 points/best answer on who can help me with this math problem?

1. First, use the 10" to help you solve for x, and use the 50 degrees too.

2. Use the trigonometric ratio TAN (TAN = OPPOSITE/ADJACENT) to solve for x, where opposite is the side opposite to the angle, and adjacent is the side NOT opposite to the angle.

Tan X = opp/adj

Tan 50 = x / 10

(10)(Tan 50) = (x / 10)(10)

10 Tan 50 = x

11.9175359... => 11.9

The triangle's height is 11.9 inches.

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Are you trying to find the TOTAL HEIGHT OF THE FIGURE? Then simply add the 11.9 to the 5 inches to get your overall height.

11.9 + 5

= 16.9 inches.

Given

y = 10 in.

Θ = 50°

Tan Θ = x / y

Subbing given values,

Tan 50 = x / 10

1.1918 = x / 10

x = 10(1.1918)

x = 11.918 in.

¯¯¯¯¯¯¯¯¯¯¯¯

x = sqrt(50^2 - 10^2) = 5*sqrt(96)

Hint:

Sin , Cos or Tan