Answer:
The height of the monument is 124.8 ft
Step-by-step explanation:
Right Triangles
The ratios of the sides of a right triangle are called trigonometric ratios. The tangent ratio is defined as:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The figure attached below shows the different distances involved in the problem. We heed to find the value of h, the height from Daniel's eyes. Then we'll add it to the 6 ft where his eyes are located from the ground.
Taking the angle of 68° as a reference:
[tex]\displaystyle \tan 68^\circ=\frac{h}{48}[/tex]
Solving for h:
[tex]\displaystyle h=48\tan 68^\circ[/tex]
Calculating:
h = 118.8 ft
The height of the monument is 118.8 ft + 6 ft = 124.8 ft
