stPreAP PreCalculus Emily Kate Mosley &I; 1/11/18 10:14 PM Homework: Right Trian

Question

stPreAP PreCalculus Emily Kate Mosley &I; 1/11/18 10:14 PM Homework: Right Triangles Save core: 0 of 1 pt 100120 (18 complete) HW Score: 90%, 18 of 20 pts 2.43 , Question Help Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. The angle of elevation of the tree from one position on a nat path from the tree is H·40° , and from a second position L = 401eet tarther along this path B-30° What is the height of the tree? The height of the tree is approximately (Do not round until the final answer. Then round to the nearest tenth as needed)

Explanation / Answer

applying tan rule on 1st triangle

tan 40 = h/x

applying tan rule on 2nd triangle

tan 30 = h / x + 40

h = tan 40 * x

h = tan 30 ( x+40)

tan 40 x - tan 30 x = tan 30* 40

x = 88.229482

h = 74

so, height of the tree is 74 feet

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