Answer:
h = 109.9 in
Step-by-step explanation:
The above question can be solved using trigonometric ratio formula,
tan θ = opposite/adjacent
tan θ = tan 70° ≈ 2.7475
opposite = height of lamppost = h in
Adjacent = 40 in
Thus,


Multiply both sides by 40 to solve for h

h = 109.9 inches
The height of the lamppost = h = 109.9 inches (to nearest tenth)
(3y +10) /4 = 2y
Multiply both sides by 4:
4(3y +10) = 4(2y)
12y +40 = 8y
Subtract 40 from each side:
12y = 8y -40
Subtract 8y from each side:
4y = -40
Divide both sides by 4:
y = -40 / 4
y = -10
The answer is A. -10
Answer:
Step-by-step explanation:
80,120,160.....
This is an arithmetic sequence
common difference (d) = 2nd term - 1st term
= 120 - 80 = 40
first term (a) = 80
nth term = a + (n-1)d
= 80 + (n-1)*40
= 80 + 40n -40
= 40 + 40n
508.45 i think i multiplied the apr i may be wrong though i have math of finance so
Answer:
see explation
Step-by-step explanation:
# complementary angles are those angles which are formed when 90° is substracted from the given degree of angle.
so here,given angle is 67°
complementary angle of 67° = 90°- 67°
= 23°
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