what is the angle of a triangle that has a 45 length hypotenuse and 24 length adjacent leg?
+6251 the cosine is the ratio of the adjacent leg of it's angle to the hypotenuse
$$\cos(\theta)=\dfrac {24}{45}$$
$$\theta = \arccos\left(\dfrac{24}{45}\right)$$
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{24}}}{{\mathtt{45}}}}\right)} = {\mathtt{57.769\: \!047\: \!364\: \!498^{\circ}}}$$
+6251 the cosine is the ratio of the adjacent leg of it's angle to the hypotenuse
$$\cos(\theta)=\dfrac {24}{45}$$
$$\theta = \arccos\left(\dfrac{24}{45}\right)$$
$$\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{cos}}^{\!\!\mathtt{-1}}{\left({\frac{{\mathtt{24}}}{{\mathtt{45}}}}\right)} = {\mathtt{57.769\: \!047\: \!364\: \!498^{\circ}}}$$
