To find the value of x, we start by using the cosine function from trigonometry. The cosine function relates the adjacent side of a triangle to the hypotenuse. In this case, we know that:
cos(24°) = adjacent / hypotenuse
Assuming we’re looking for ‘x’ where adjacent represents the value we need, we can rearrange our formula if we have a hypotenuse value.
Let’s say the hypotenuse is known or is a specific value (for example, 1). Therefore:
adjacent = cos(24°) * hypotenuse
If the hypotenuse is 1, we simply find:
adjacent = cos(24°) = 0.9135 (approximately)
Now, rounding to the nearest tenth:
0.9135 rounds to 0.9
So, if x represents this calculated adjacent side when the hypotenuse is 1, then:
x = 0.9
In conclusion, without any other context from the diagram, we use the properties of cosine to derive the value of x, which is 0.9, rounded to the nearest tenth.