Question

Calculate the size of angle x. Give your answer to 1 decimal place

Answer 1

The size of angle x can be calculated using trigonometry. Plug in the values and solve for x using a calculator or computer.

Step-by-step explanation:

The size of angle x can be calculated using trigonometry. Since we know the distances 1 and x from the problem, we can use the tangent function to find the angle.

Let's use the formula: tan(x) = opposite / adjacent

For this problem, the opposite side is 1 and the adjacent side is x. So, we have: tan(x) = 1 / x

To find the value of x, we can take the inverse tangent (arctan) of both sides of the equation: x = arctan(1 / x)

Finally, we can plug in the given values and solve for x using a calculator or computer.

Answer 2

Cosine rule
Cosx=(11 ²+8²-(15²))/2(11)(8)
Cosx=(121+64-225)/176
Cosx=-40/176
Cosx=-5/22
X=cos-1 -5/22
X=103.1