Answer:
(i) ∠ABH = 14.46⁰
(ii) The length of AH = 4.6 m
Step-by-step explanation:
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Consider △ABC;
the length of b is calculated by applying Pythagoras theorem as follows;
b² = c² - a²
b² = (13.2)² - (6.9)²
b² = 126.63
b = √126.63
b = 11.25 m
Also, ∠ABC is calculated as;

Consider △CBH, ∠CBH is calculated as;
∠CBH = 90⁰ - 46⁰ = 44⁰
(i) ∠ABH will be calculated as;
∠ABH = θ
θ + 44⁰ = ∠ABC
θ + 44⁰ = 58.46⁰
θ = 58.46⁰ - 44⁰
θ = 14.46⁰
Thus, ∠ABH = 14.46⁰
(ii) The length of AH
length HC is calculated as;

length of AH = CA - HC
x = b - HC
x = 11.25 - 6.66
x = 4.6 m
length of AH = 4.6 m