Question

7. Assume two people, Swanson and Suzie, are standing 35 feet apart and are watching a boat

Answer 1

Answer:

78.4 ft

Step-by-step explanation:

Part I:

Missing angle = 180° - (130 + 30) (sum of angles in a triangle)

= 180° - 160°

Missing angle = 20°

Part II: distance (d) from Swanson to the boat

Law of Sines is given as:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

Where,

a = d

A = 130°

b = 35 ft

B = 20°

Plug in the values and solve for d

$\frac{d}{sin(130)} = \frac{35}{sin(20)}$

Multiply both sides by sin(130) to make d the subject of the formula

$\frac{d}{sin(130)}*sin(130) = \frac{35}{sin(20)}*sin(130)$

$d = \frac{35*sin(130)}{sin(20)}$

$d = 78.4 ft$

Answer 2

78.4 ft hope this helped good luck on the test or quiz or whatever it is good luck