Answer:
d = 102° , e = 56° , f = 22°
Step-by-step explanation:
d and 102° are vertically opposite angles and congruent , so
d = 102°
e and 56° are vertically opposite angles and are congruent , so
e = 56°
f, d and e lie on a straight line and sum to 180° , then
f + d + e = 180° , that is
f + 102° + 56° = 180°
f + 158° = 180° ( subtract 158° from both sides )
f = 22°
x = 11.4 m
y = 21 m
man's shadow = 9.6 m
measure of third angle must be 50 degrees (180 - (40 + 90))
you can take tan50° = 15/y and 'y' will equal approx. 21
to find 'x' you can take tan21° = (21-x) /25 and 21 - x = 25 · tan21°
21 - x = 9.6
-x = -11.4
x = 11.4
man's shadow is the difference of 21 and 11.4, which is 9.6
Multiplying 3/7 by the reciprocal of -3/14,
Hope it helps!!
Step-by-step explanation: 2+2=4 +4x8=9
