Question

From one point on the ground, the

Answer 1

Trigonometry allows to find the result for the question about the height of the mountain is:

• The height mountain  is:  y = 9674.4 ft

Trigonometry allows finding relationships between the angles of a right triangle.

         $tan \theta = \frac{y}{x}$  

Where θ is the angle, y the opposite leg (height) and x the adjacent leg (horizontal distance).

In the attachment we can see a diagram of the system. They indicate that for x  distance the angle is 14.67º  

         tan 14.67 = $\frac{y}{x}$  

At the other point the angle is 10.38º.

        tan 10.38 = $\frac{y}{x+15860}$

We look for the horizontal distance (x) with these equations.

        x tan 14.67 = (x + 15860) tan 10.38

        x tan 14.67 / tan 10.38 = x + 15860

        x 1,429 = x + 15860

        x 0.429 = 15860

        x = $\frac{15680}{0.429}$

        x = 36955.3 ft

We calculate for the height.

        y = x tan 14.67

        y = 36955.3 tan 14.67

        y = 9674.4 ft

In conclusion using trigonometry we can find the result for the height of the mountain is:

• The height is y = 9674.4 ft

Learn more about trigonometry here: brainly.com/question/8120556