Question

Help me with this question

Answer 1

Answer:

40.374 ft

Step-by-step explanation:

We assume that the height of the goal on the football field is h (ft)

As it can be seen, the height of the goal is equal to the total of the man's height and the length of AB.

=> h = 5.5 + AB

The triangle ABC in the figure is the right angled triangle with Angle B = 90 degree and BC = 10 ft

In a right triangle, we have the equation as following:

+) tan of an acute angle = length of opposite side/ length of the adjacent side

We have: Angle C = 74 is an acute angle, its opposite side is AB, adjacent side is BC

=> tan Angle C = AB/ BC

=> tan 74° = AB/ 10

=> AB = 10. tan 74° = 34.874 ft

=> h = 5.5 + AB =5.5 + 34.874 = 40.374 ft