The figures have corresponding sides that are proportional, therefore, they are similar figures.
<h3>What are Similar Figures?</h3>
When two figures are similar to each other, the corresponding sides are proportional to each other.
The two figures given have two opposite sides that are parallel and congruent to each other. Therefore:
DA/VS = 21/7 = 3
AB/ST = 15/5 = 3
Thus, we can conclude that since their corresponding sides are proportional, therefore, they are similar to each other.
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Answer:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Step-by-step explanation:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Given :
Joshua has a ladder that is 12 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.
For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.
Check the angle that the ladder makes with the ground:
The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but is so, the ladder won't be safe.
To make the ladder safe, the height should not be 11.8ft.
The height from ground to top of the ladder is < 11.6 ft for safety reasons.
Answer:
54 I think
Step-by-step explanation:
I just did 15 divided by 9 and got 5/3 and then did 90 divided by 5/3 and got 54
Let's find the slope :
taking :
now, we know the formula to find the slope, that is :
Answer:
156.5
Step-by-step explanation:
Thinking process:
The area can be calculated using the formula:
We let the substitution take place.
Therefore, we let 
Thus, 
So,
Also, the interval of the integration changes to [ 37, 65]
Thus,
= 
= 156.5 units²
