David measures the angle of elevation of the peak of a mountain as 30°. while Annette. who is 2000 feet closer on a straight path. measures the angle of elevation as 45 . How high is the mountain?

Question

David measures the angle of elevation of the peak of a mountain as 30°. while Annette. who is 2000 feet closer on a straight path. measures the angle of elevation as 45 Degrees. How high is the mountain?

Answer 1

Draw and label a diagram

h represents the height of the mountain

x represents Annette's distance from mountain

tan 30° = h / (2000 + x), solve for x

tan 45° = h / x, solve for x

Casn you set the two equation equal and solve for h?