Step-by-step explanation:
(A) Let a triangle be formed with height of pole h, length of base b and angle of elevation 58°. (Due to lack of a figure).
Tan 58° = h / b = 1.6
(B) Let another triangle be formed with height of pole h, length of base (b + 90) and angle of elevation 36°. (Due to lack of a figure).
Tan 36° = h / (b + 90) = 0.72
(C) <u>Simplifying the two equations</u> :
1.6b = 0.72b + 64.8
b = 64.8 / 0.88 = 73.6 m
h (height of pole) = 1.6 * 73.6 = 117.76 m
Answer:
D. 6i
Step-by-step explanation:
Answer:
YZ = XZ
Step-by-step explanation:
Perpendicular Bisector:
A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.
Given:
1. A triangle WXY.
2. A perpendicular bisector from vertex W that intersects XY at point Z.
Conclusion based on the drawing:
a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.
b. Hence, XZ = YZ.
Answer:
D. 73°
Step-by-step explanation:
The inside angles of a triangle always equal 180° so if we know that a right angle is already 90° we only need one more angle to know all of them:
1. 90° + 17° + ?° = 180
2. 90° + 17° = 107°
3. 180° - 107° = 73°
4. 90° + 17° + 73° = 180
5. XD
Number 3 is 100 number 4 is 112
