Answer:
(i) ∠ABH = 14.5°
(ii) The length of AH = 4.6 m
Step-by-step explanation:
To solve the problem, we will follow the steps below;
(i)Finding ∠ABH
first lets find <HBC
<BHC + <HBC + <BCH = 180° (Sum of interior angle in a polygon)
46° + <HBC + 90 = 180°
<HBC+ 136° = 180°
subtract 136 from both-side of the equation
<HBC+ 136° - 136° = 180° -136°
<HBC = 44°
lets find <ABC
To do that, we need to first find <BAC
Using the sine rule
= 
A = ?
a=6.9
C=90
c=13.2
= 
sin A = 6.9 sin 90 /13.2
sinA = 0.522727
A = sin⁻¹ ( 0.522727)
A ≈ 31.5 °
<BAC = 31.5°
<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)
31.5° +<ABC + 90° = 180°
<ABC + 121.5° = 180°
subtract 121.5° from both-side of the equation
<ABC + 121.5° - 121.5° = 180° - 121.5°
<ABC = 58.5°
<ABH = <ABC - <HBC
=58.5° - 44°
=14.5°
∠ABH = 14.5°
(ii) Finding the length of AH
To find length AH, we need to first find ∠AHB
<AHB + <BHC = 180° ( angle on a straight line)
<AHB + 46° = 180°
subtract 46° from both-side of the equation
<AHB + 46°- 46° = 180° - 46°
<AHB = 134°
Using sine rule,
= 
AH = 13.2 sin 14.5 / sin 134
AH≈4.6 m
length AH = 4.6 m
Answer:
Her father is 81 inches tall.
Step-by-step explanation:
She is 2/3 as tall as her father so we divide her height by 2. 54/2=27 and then we multiply 27 by three to get 81 inches.
Hey there! :D
x+56/7=11
A number plus fifty-six sevenths is equal to eleven.
I hope this helps!
~kaikers
<u>Answer:</u>
Below!
<u>Step-by-step explanation:</u>
<u>We can solve this with the help of equations.</u>
- 5 + 2x = 2x + 6
- => -2x + 2x = -5 + 6
- => 0 ≠ 1
<u>Since we are getting 0 ≠ 1 as our result, the problem has </u><u>no solution.</u>
Hoped this helped.

Answer:
400 children tickets and 600 adult tickets.
Step-by-step explanation:
children tickets in total cost=400x2.50
=1000
adult tickets in total cost=600x5.00
=3000
total cost is 4000