Answer:
11.5 m
Step-by-step explanation:
The problem can be solved using a trig relation that relates the side opposite the angle to the side adjacent to the angle. That relation is ...
Tan = Opposite/Adjacent
The lengths of the adjacent sides of the triangle can be found by rearranging this formula:
Adjacent = Opposite/Tan
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The "opposite" side of the triangle is the height of the tree, which we can represent using h. The problem statement tells us of a relation between adjacent side lengths and angles:
h/tan(25°) -h/tan(50°) = 15 . . . . . moving 15 meters changes the angle
h(1/tan(25°) -1/tan(50°)) = 15
h = 15·tan(25°)·tan(50°)/(tan(50°) -tan(25°)) = 15(0.55572/0.72545)
h ≈ 11.4907 . . . . meters
The height of the tree is about 11.5 meters.
The area of the circle would be pi r^2 and the area of the square will be side^2. r is 12 and the side is 12rad(2). the circle would have an area of 144 pi and the square an area of 288. so 452.39-288 =164.4
D 180 degrees
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Answer:
A
Step-by-step explanation:
180-105=75
180=75+55+x
x=50
Answer:
Step-by-step explanation:
Given: Monica wants to measure the dimensions of her rectangular lawn.
If the longer side of the lawn is BC=(x + 3) feet.
If the diagonal length is AC=(x + 4) feet.
Let the shortest side of lawn is AB=y feet
The angle of rectangle is right angle.
Using diagonal, shortest and longer side to make a right angle triangle whose hypotenuse is length of diagonal.
Using Pythagoreous theorem,
We will ignore the negative value because side of rectangle can't be negative.
