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Home > PC3 > Chapter 10 > Lesson 10.1.3 > Problem 10-64


To determine 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, calculate 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.

Label the horizontal leg of the small right triangle .
Then write two equations using tangent, , and .
Solve this system of equations for .