The answer is 80 ft.
Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.
The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:
to solve for x, all you need to do is cross multiply then divide.
The answer is then 80ft.
Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.
160ft/2 = 80ft.
Answer:
2. A = 12ft * 8ft
Step-by-step explanation:
To find the area, multiply the two different side lengths together.
Answer: 20 boxes
Step-by-step explanation:
First and foremost, we need to know that 1 foot = 12 inches. Therefore, 1500 feet will be converted to inches and this will be:
1500 feet = 1500 × 12 = 18000 inches
Since each group of box requires 900 inches, then the number of group of boxes that can be used in this case will be:
= 18000/900.
= 20 groups of boxes
In a right triangle, if we draw an altitude, from the vertex which contains the right angle, to its opposite side, the triangles at both sides of this altitude are congruent and hence congruent to the whole triangle.
The above is called the Right angle altitude theorem.
In PYthagorean theorem, we use the above theorem to prove the proportionate values are equal.