Can someone review a pythagorean theorem scenario i had to make I was going to paint my house. my house is 35 feet tall. I need to borrow a ladder from my neighbor and I have to think about my front porch which is 10 feet out from the house. What size ladder would I need?

a2+b2=c2

a2+b2= c2

a2+102=352
a2+100=1225
100=10
1225=35
a=25

You need to make the lenght of the ladder known if you need to find the A instead. Instead of finding the ladder length, make them find the house height or porch length.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°