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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Angles

Grade: 6-a Lesson: S4-L3

Explanation: Let us verify the answer here with the steps.

Lesson Steps Head1

Step	Type	Explanation	Answer
1	Problem	Lucy is designing a kite and wants to attach a tail to it. She wants the tail to form a right angle with the horizontal bar of the kite. If the horizontal bar of the kite is 4 feet long, and the tail is 3 feet long, how far above the ground should she attach the tail to create a right angle with the horizontal bar?
2	Step	The horizontal bar of the kite(a) is given,	4 feet
3	Step	The tail of the kite(b) is given,	3 feet
4	Formula	To create a right angle with the horizontal bar of the kite, you can use the Pythagorean theorem since you have a right triangle.	\$a^2 + b^2 = c^2\$
5	Step	Now plug the values into the formula	\$ c^2 = 4^2 + 3^2\$
6	Step	After simplification	⇒ \$c^2 = 16 + 9\$ ⇒ \$c^2 = 25\$
7	Step	Apply square root on both sides	\$\sqrt(c^2) = \sqrt(25)\$
8	Step	After simplification	c = 5
9	Step	So, the tail should be attached 5 feet above the ground to create a right angle with the horizontal bar of the kite.
10		Answer	A

Step

Type

Explanation

Answer

Problem

Lucy is designing a kite and wants to attach a tail to it. She wants the tail to form a right angle with the horizontal bar of the kite. If the horizontal bar of the kite is 4 feet long, and the tail is 3 feet long, how far above the ground should she attach the tail to create a right angle with the horizontal bar?

Step

The horizontal bar of the kite(a) is given,

4 feet

Step

The tail of the kite(b) is given,

3 feet

Formula

To create a right angle with the horizontal bar of the kite, you can use the Pythagorean theorem since you have a right triangle.

\$a^2 + b^2 = c^2\$

Step

Now plug the values into the formula

\$ c^2 = 4^2 + 3^2\$

Step

After simplification

⇒ \$c^2 = 16 + 9\$

⇒ \$c^2 = 25\$

Step

Apply square root on both sides

\$\sqrt(c^2) = \sqrt(25)\$

Step

After simplification

c = 5

Step

So, the tail should be attached 5 feet above the ground to create a right angle with the horizontal bar of the kite.

Answer