Let h be the height of the tree and d the distance to the top of the tree from the point on the ground. Draw a diagram to visualize the situation:
Since the distance to the top of the tree is 11 ft more than two times the height, then:
Use the Pythagorean Theorem to relate the length of the sides of the right triangle:
Notice that we have obtained a quadratic equation in terms of h. Write it in standard form and use the quadratic formula to solve for h:
Since the height of the tree must be positive, the only solution is h=39ft. To the nearest foot, the height of the tree is 39.
Therefore, the height of the tree is 39 ft.
Answer:
scale factor is 3.75
the length is 9.6 ft
Step-by-step explanation:
Because we know the measurements of the original rectangle and the width of the other rectangle we can calculate the scale factor, it would be like this:
24 / 6.4 = 3.75
Therefore, we can calculate the length of the small rectangle knowing the scale factor which is 3.75, like this:
36 / 3.75 = 9.6
Which means that the length would be 9.6 ft.
Answer:
16.09N
Step-by-step explanation:
$19.75, which is $79 divided by 4 since she’s buying 4 cardigan sweaters for the same price.