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Home > PC > Chapter 3 > Lesson 3.2.1 > Problem 3-64


To find the height of Mount St. Melon in the Cantaloupe Mountains, two angle measurements were taken feet apart along a direct line toward the mountain. Using these measurements, find the height of the mountain.

Right triangle, vertical leg on right, labeled, h, horizontal leg, divided into 2 parts, left part labeled, 1200 feet, segment connecting point dividing horizontal leg, to vertex opposite horizontal leg, creates 2 triangles, obtuse triangle on left, with left bottom angle labeled 35 degrees, smaller right triangle, on right, with left bottom angle labeled 42 degrees.

1. Find angle by subtracting from .
2. Now find angle . You know the sum of the angles of a triangle .
3. Use the Law of Sines to find length .
4. Use the and to find .

Added to triangles, horizontal leg, left vertex labeled, A, right angle vertex labeled c, point between labeled, b, top vertex labeled, d.