(a) The value of angle B is determined as 42⁰.
(b) The value of angle C is determined as 48⁰
(c) The distance between the two houses is d = 53.8 m.
How to calculate the value of angle B, and angle C?
(a) The value of angle B is calculated by applying the following formula as shown below;
tan B = AC / AB
tan B = 36 / 40
tan B = 0.9
B = arc tan (0.9)
B = 42⁰
(b) The value of angle C is calculated by applying the following formula as shown below;
C + B = 90 (complementary angles)
C + 42 = 90
C = 90 - 42
C = 48⁰
(c) The distance between the two houses is calculated as follows;
d² = 40² + 36²
d² = 2,896
d = √2,896
d = 53.8 m