Do #8 only QUESTION 8 Solve the problem. nd. At a point 35 feet farther from the

Question

Do #8 only

QUESTION 8 Solve the problem. nd. At a point 35 feet farther from the base of the tower and in line with the base of the wire, the angle of elevation to the top of A guy wire to the top of a tower makes an angle of 55 with the level grou the tower is 28*. What is the length of the guy wire? O A. 63.15 ft O B. 20.06 ft O C. 61.07 ft O D. 36.19 ft QUESTION 9 Two sides and an angle are given. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. a 7, b 9, B 49* O A. one triangle A 76.01, C 54.99, c 7.60 B, two triangles A1-76.01, C1-5499, -7.60 or A2-103.99, C2 27.01, c2 12.14 O C. one triangle A 35.94, C 95.06, c 11.88 O D.no triangle

Explanation / Answer

let height of tower = h

and distance from base of gaywire to base of tower = x

applyimg tan rule

tan 55 = h / x

h = tan 55 * x

applying tan rule on 2nd triangle

tan 28 = h / ( 35 + x )

h = tan 28 ( 35 + x)

tan 28 ( 35 + x) = tan 55 * x  

35 tan 28 + x tan 28 = x tan 55

x = 35 tan 28 / ( tan 55 - tan 28 )

x = 20.76

length of gaywire

cos 55 = 20.76 / l

l = 36.19 feet

last option is correct

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