Q1 [5]
1 answer:
Answer:
The required drawing showing the cliff, river, and tower as well as the details in the question is attached, please find alongside the answer
The width of the river is approximately 51.55 meters
Step-by-step explanation:
The height of the observation tower = 11 meters
The angle of elevation of the cliff top and the opposite side of the river = 20°
The angle of elevation of the tower top and the opposite side of the river = 30°
Therefore, by sine rule, we have;
h/sin(20) = w/sin(60)
11/sin(10) = length, l/sin(60)
l = sin(60) ×11/sin(10) ≈ 54.86 meters
w = l × cos (20) = 54.86 meters × cos (20) ≈ 51.55 meters
The width, w, of the river is approximately 51.55 meters.
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Answer:
<em>B. (U+V)(U-V)</em>
Step-by-step explanation:
<u>Factoring</u>
The given expression is:
It should be noted that both terms are perfect squares:
Since it's a difference of squares, we need to use the following pattern to factor the required expression:
Thus, the answer is
B. (U+V)(U-V)
Using the distance formula, , what is the distance between point (-2, 2) and point (4, 4) rounded to the nearest tenth?
Using the points given, plug them into the equation.
Plug this into a calculator and you get 6.32455532
Since you only need it up to the tenth (0.1), round up 6.32
<em>Five or more, let it soar. Four or less, let it rest.</em>
Since two is lower than four, we drop it.
Therefore, the distance between points (-2, 2) and (4, 4) is 6.3
Hope this helps ^w^