A security camera needs to be set MAP4C - Foundations for College a ge Mathemati

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A security camera needs to be set

MAP4C - Foundations for College a ge Mathemati tice Key Question #20 nna want to calculate the distance between their houses which or a water park. They mark a point, A. 120 m along the edge ot 1 Noah and Brianna want opposite sides of a wate the the ter park from waler s from Brianna's house. The measure ZNBA as75 and BANas 70° D Determine the distance between their houses 2From an observation to From an observation tower that o point A, wer that overlooks a runway, the angles of depression o erre, 6 and 13°, respectively. The points and the tower are in the same vertical plane on one side of the runway, and point B, on the opposite side of the runway are cal plane and the distance from A to B is 1.1 km. Determine the height ofh A children's play area is triangular. The sides of the play area measure 90m, A baseball diamond is a square with sides 22.4 m. The pitcher's mound is tower 225 m and 255m respectively. Calculate the area of the play area 16.8 m from home plate on the line joining home plate and second base far is the pitcher's mound from first base? nnding between twn buildings in a townhouse developmen

Explanation / Answer

1) sum of 3 angles of a triangle is 180

75 + 70 + x = 180

x = 180 - ( 75 + 70 )

x = 35 degrees

angle BNA = 35 degrees

applying law of sines

120 / sin 35 = d / sin 70

d = 120 / sin 35 * sin 70

d = 196.60

so, distance between two houses is 196.60 metres

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