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:
Answer:Noah and Gabriel are in the same English class. They have taken 6 quizzes so far. ... Gabriel's scores: 82, 85, 86, 86, 90, 94 Total of 523 ... What are Gabriel's mean, median, and mode? ... 1.1/5. 2. ryan28772020. ryan28772020. jd3sp4o0y. +16. jd3sp4o0y and 16 ... D. The mean is 83 and the median is 90.
Step-by-step explanation:
Answer:

Step-by-step explanation:
Complementary angles sum up to
.

Best Regards!
With tax, it would be 107.5% of 625.99. 107.5% is 1.075 in decimal form so you do 1.075(625.99). That gives the rounded answer of $672.94. :)
Answer:
6) Braden scored 77.
7) Carolyn bought 18 pocket folders.
Step-by-step explanation:
6) 86 - 9 = 77
7) 0.39x = 7.02
step 1- divide both sides by 0.39
x = 18