- Based on the information given in the problem above, you can draw the rigth triangle shown in the image attached.
- You must apply the Pythagorean Theorem to calculate the heigth [tex]x[/tex] of the mast, where the hypotenuse is [tex]48 ft[/tex] and one leg is [tex]26 ft[/tex]. Therefore, you must solve for the other leg, which is the height [tex]x[/tex]:
[tex]x=\sqrt{(48ft)^{2}-(26ft)^{2} } \\ x=40.34 ft[/tex]
Therefore, the answer is: [tex]40.34 ft[/tex]