A builder marks out three points A, B and C on the ground such that AB - Ilm , AC - 15m and angle BAC - 1240 (a) Calculate the length of BC.
He next marks a fourth point, D, on the ground at a distance of 12m from B, such that angle BDC is 53º.
B
11m
124
12m
15m
DA53
(b) Find the size of angle DBC.
(c) Find the area of the quadrilateral ABDC.
ANSWE

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80

the ratio of grapes to blueberries she should use is 12: 3

step-by-step explanation:

if mandie is making 15 cups of fruit salad, the ratio of grapes to blueberries she should use is 12: 3.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2