To find the angle at the top of the right triangle, we can use the tangent function which relates the angle to the opposite side and the adjacent side.
Given:
- The height of the triangle (opposite side) = 2 inches
- The base of the triangle (adjacent side) = 4 inches
We can find the angle at the top of the triangle, let’s call this angle \( \theta \). The tangent of \( \theta \) can be expressed as follows:
\[ \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} = \frac{2}{4} = \frac{1}{2} \]
To find the angle, we can take the arctangent (inverse tangent) of \( \frac{1}{2} \):
\[ \theta = \tan^{-1}\left(\frac{1}{2}\right) \]
Calculating this using a calculator:
\[ \theta \approx 26.57^\circ \]
Rounding to the nearest whole degree, we have:
\[ \theta \approx 27^\circ \]
Therefore, the approximate angle measure of the angle formed at the top of the triangle logo is 27 degrees.