Look at the figure below:
2 answers:
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<h3>Answer: x = 1</h3>
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Explanation:
- Step 1) Start at -1 on the y axis.
- Step 2) Draw a horizontal line from -1 until you reach the g(x) curve.
- Step 3) Mark the point of intersection. Let's call it point A.
- Step 4) From point A, draw a vertical line until you reach the x axis. You should get to x = 1.
All of this is shown in the diagram below.
Now follow the arrows in reverse. This shows that x = 1 leads to y = g(x) = -1.
Therefore, g(1) = -1 and x = 1 is the solution to g(x) = -1.
Side note: The equation is g(x) = 2x-3. We can replace g(x) with -1 and solve for x to get x = 1.
The correct measurements of the surveyors movement from all the options are; m∠b = 15° and h ≈ 31.28 ft
<h3>What are the correct elevation measurements?</h3>
From the image attached, we see that;
A surveyor found the angle of elevation from the ground to the top from a point = 33°
Now, the surveyor moves 20 ft towards the building and the angle of elevation becomes 48°. This means that ∠A and 48° are supplementary to each other.
Thus;
∠A + 48° = 180°
∠A = 180 - 48
∠A = 132°
From sum of angles in a triangle;
∠B + 33° + 132° = 180°
∠B = 180 - 165°
∠B = 15°
Using sine rule, we know that;
sin 33/C = sin B/20
Thus;
sin 33/C = sin 15/20
Solving for C gives;
C = 42.22
From trigonometric ratios, h/c = sin 48
h = 42.22 sin 48
h = 31.28 ft
Read more about elevations at; brainly.com/question/10254887
