H=A/0.5b isolate h
h=2A/b Make all terms integers (optional)
f(x)=40
x=8
so if x=2 it would be 40/8 which is 5
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The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Data;
- Angle = 45 degree
- Observation deck (adjacent) = 1145 ft
- horizontal distance (opposite) = x
<h3>Trigonometric Ratios</h3>
Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance
Substitute the values into the equation and solve
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Learn more on trigonometric ratio here;
brainly.com/question/4326804
The statement must be true is AC = DF ⇒ A
Step-by-step explanation:
When two triangles are congruent, then
- Their corresponding sides are equal in lengths
- Their corresponding angles are equal in measures
- Their perimeters and areas are equal
∵ ΔABC ≅ DEF
- Their corresponding sides and angles are equal
∴ AB = DE ⇒ AB is the corresponding side of DE
∴ BC = EF ⇒ BC is the corresponding side of EF
∴ AC = DF ⇒ AC is the corresponding side of DF
∴ ∠A ≅ ∠D ⇒ ∠A is the corresponding angle of ∠D
∴ ∠ABC ≅ ∠DEF ⇒ ∠ABC is the corresponding angle of ∠DEF
∴ ∠C ≅ ∠F ⇒ ∠C is the corresponding angle of ∠F
- Look to the answer to find the correct statement
∴ AC = DF
The statement must be true is AC = DF
Learn more:
You can learn more about the congruent of triangles in brainly.com/question/6108628
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