I will mark brainliest if someone can help me with this geometry question
1 answer:
Answer:
B
Step-by-step explanation:
Since the triangle has 2 equal base angles (45 degrees) and 1 angle is 90 degrees, the triangle is an isosceles right triangle.
We let a be the length of one side of the right angle, so the length of the other side is also a. Applying the Pythagorean theorem we have a^2 + a^2 =14^2 => a=
We have the area of an equilateral triangle 1/2 the product of the lengths of the 2 sides of the right angle. S=1/2*=49
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Answer:
1)7.288 feet
2)11.6 feet
3)safe
4) 3.7 feet
5) ∅
6)∅1
∅2
Step-by-step explanation:
1) The door barn is rectangular in shape. The length is 9 feet and The angle between diagonal and side is 39 degrees.
Applying trigonometry,
tan(39) = = 0.809
Thus, s=
2) Applying pythagoras theorm,
Diagonal length (d) = 11.58 feet. Nearest tenth place = 11.6 feet
3) The length of ladder is 14 foot and height from ground is 13.5 feet.
Applying trigonometry,
sin(∅) = = 0.964
∅ = angle of elevation = = 74.57 ≈ 75 degrees.
Thus tractor can climb safely.
4)Applying, pythgoras theorm,
x =
Thus, ladder should be placed at distance 3.7 feet
5)Let angle of elevation be ∅.
tan(∅) =
∅
6)After moving 5 feet closer to barn, Let angle of elevation for light near barn be ∅1 and for farther one be ∅2.
Thus,
tan(∅1) =
∅1
tan(∅2) =
∅2