Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinXZY =
=
=
, then
∠ XZY =
(
) ≈ 23.6° ( to 1 dec. place )
7-foot
EXPLANAT
Given:
14 foot tree
8foot shadow
4foot shadow
Let h be the height of a tee that casts a 4 foot long shadow.
Using proportion;
14 foot = 8 ft shadow
h = 4 ft shadow
Cross - multiply
8h = 56
Divide both-side by 8
h = 7 foot.
Hence, the tree is 7-foot.
2x + x - 1 x
= ------------------ * ---------
x(x - 1) 8
3x - 1
= --------------
8x - 8
Keep subtracting 1/5 from 3
3 -(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5)-(1/5) = 0
3 / (1/5) = 15
We subtracted (1/5) 15 times till we got to 0.