Again using the Pythagorean Theorem:
h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths. You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:
34^2=16^2+y^2
y^2=34^2-16^2
y^2=1156-256
y^2=900
y=√900
y=30 ft
So the ladder will reach a spot 30 feet high on the building.
Answer:
100 %
Step-by-step explanation:
Answer:
height = 78 yd
Step-by-step explanation:
<u>Formula</u>
Volume of a rectangular prism = width × length × height
Given:
- volume = 4,212 yd³
- width = 2 yd
- length = 27 yd
Substituting given values into the formula and solving for height:
⇒ 4212 = 2 × 27 × height
⇒ 4212 = 54 × height
⇒ height = 4212 ÷ 54
⇒ height = 78 yd
Answer:
A
Step-by-step explanation:
The two angles in the triangle in the question are 58 degrees and 54 degrees.
Three angles in a triangle add up to 180 degrees
58 + 54 + x = 180
112 + x = 180
subtract 112 on both sides
x = 180 - 112 = 68 degrees
Only option A has a triangle that has the same angles, thus triangles are similar.
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Its a little complicated, so I cant rlly explain it on here. But yes, 2 questions can have more than one solution. Like how theres a problem in a story, but theres plenty of solutions to solve it.
