Right triangle with sides 7 cm and 4 cm, angle at A is x degrees.

Let’s solve this step by step.

We have a right triangle ABC, with the right angle at B.
That means side AB is vertical (7 cm), side BC is horizontal (4 cm), and AC is the hypotenuse.

The angle marked as x° is at vertex A — that’s the angle between side AB (the 7 cm side) and the hypotenuse AC.

In a right triangle, we can use trigonometry to find angles when we know two sides.

Since we’re looking at angle at A:
- The side opposite to angle A is BC = 4 cm.
- The side adjacent to angle A is AB = 7 cm.

So, we can use the tangent function:

> tan(x) = opposite / adjacent = 4 / 7

Now, to find x, we take the inverse tangent (also called arctan):

> x = arctan(4/7)

Let’s calculate that.

First, 4 divided by 7 is approximately 0.5714.

Now, use a calculator to find arctan(0.5714). Make sure your calculator is in degree mode.

arctan(0.5714) ≈ 29.7 degrees.

Let me double-check:

tan(30°) ≈ 0.577 — which is very close to 0.5714, so yes, about 29.7° makes sense.

Rounded to one decimal place, it’s 29.7°.

But let’s be precise — using more accurate calculation:

4 ÷ 7 = 0.57142857...

arctan(0.57142857) ≈ 29.7448813°

So, rounding to one decimal place: 29.7°

Sometimes problems expect rounding to nearest whole number — but since no instruction was given, we’ll go with one decimal place as it’s more accurate.

Wait — let me check if the problem expects an exact value or rounded. Since it’s labeled “x°” and sides are whole numbers, likely they want a decimal approximation.

Also, in many school contexts, they accept answers like 29.7° or sometimes even 30° if approximated. But since 4/7 isn’t a standard angle, we should give the calculated value.

Final Answer:
29.7