Answer: Height of tree = 26 ft
Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.
Base = AC = 31
Perpendicular = CB = ?
Hypotenuse = AB
Using trigonometric equation
tan 40 (deg) = CB / AC
CB = Tan 40 x AC
CB = 0.83909 x 31
CB = 26.011
Thus the height of the tree = 26 ft
Answer:
the answer is A {-5,-3,-1}
Answer:
5 packs of vases.
Step-by-step explanation:
8 divided by 40 = 5. therefore, 5 packs of vases can be bought.
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.
