Answer:
9.17 feet.
Step-by-step explanation:
See the diagram attached to this answer.
Let, AB is the pole and CD is the tree.
From the top of the pole to the base of the tree the angle of depression as per the condition is 63°.
So, ∠ EBC = ∠ ACB = 63° {Since, BE ║ AC}
So, from Δ ABC,
{Given height of the tower AB = 18 feet}
⇒
feet.
Therefore, the distance between the pole and the tree is 9.17 feet. (Answer)
Answer:
Step-by-step explanation:
Angle PRS and RPQ are right angles. Segment SP is also congruent to segment QR. This means that triangle PRS and RPQ are right angle triangles.
Segment SP and segment QR are the longest sides and thus, the hypotenuse of each triangle. It means that the hypotenuse are congruent
The hypotenuse leg theorem states that any two right triangles are congruent if they have a congruent hypotenuse and a corresponding congruent leg. Therefore,
Angle PSR is congruent to angle RPQ and
Triangle PSR is congruent to triangle RPQ
Answer:
95-68=27 inches longer, hope this helps :)
Answer:
+ 7 and - 2
Step-by-step explanation:
Given
x² + 5x - 14
Consider the factors of the constant term (- 14) which sum to give the coefficient of the x- term (+ 5)
The factors are + 7 and - 2 , since
7 × - 2 = - 14 and 7 - 2 = + 5 , then
x² + 5x - 14 = (x + 7)(x - 2) ← in factored form