Triangle ABC is a right triangle with mC = 90°, m B = 54°, and
1 answer:
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Answer:
(i) The length of AC is 32 units, (ii) The length of BC is 51 units.
Step-by-step explanation:
(i) Let suppose that AB and BC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that and
, then:
The length of AC is 32 units.
(ii) Let suppose that AB and AC are collinear to each other, that is, that both segments are contained in the same line. Algebraically, it can be translated into this identity:
If we know that and
, then:
The length of BC is 51 units.
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
--- tree distance from north gate
--- movement from south gate
--- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
--- similar triangles
So, we have the following equivalent ratios
Where:
Substitute these in the above equation
Express as fraction
Cross multiply
Open bracket
Rewrite as:
Expand
Factorize
Factor out x + 284
Split
Solve for x
x can't be negative;
So:
