Please help, Will give brainliest

Firefighters used a ladder 50 feet high to reach a window that was 30 feet above the ground. From the same point on the ground, the ladder is turned to across the street to reach a window that was 40 feet high.

Select all the true statements.

The width of the street, BM, is 70 feet.
The ground distance of the ladder from building B is 30 feet.
The ground distance of the ladder from building M is 30 feet.
The width of the street, BM, is 122 feet.
The length KL is 50 feet.

Please help Will give brainliest Firefighters used a ladder 50 feet high to reach a window that was 30 feet above the ground From the same point on the ground t class=

Respuesta :

Answer:

First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:

a² + b² = c²

30² + b² = 50²

b² = 50² - 30²

b² = 1600

b = 40    Line BL = 40 ft

Since the ladder is 50 feet it is the same length on the other side as well

a² + b² = c²

40² + b² = 50²

b² = 50² - 40²

b² = 900

b = 30        line LM is 30 ft

SO line lm + line bl = 30 + 40 = 70 ft

A is true because ^

B isn't true because as we solved for earlier, BL is 40

C is true because line LM is in fact 30 ft as we solved for

D is not true because as we said earlier BM is 70

E is true because the same ladder was used on both sides of the street

Step-by-step explanation:

Answer:

First since 2 of the options ask for the width of BM lets solve for it using the Pythagorean theorem for both sides of point L:

a² + b² = c²

30² + b² = 50²

b² = 50² - 30²

b² = 1600

b = 40    Line BL = 40 ft

Since the ladder is 50 feet it is the same length on the other side as well

a² + b² = c²

40² + b² = 50²

b² = 50² - 40²

b² = 900

b = 30        line LM is 30 ft

SO line lm + line bl = 30 + 40 = 70 ft

A is true because ^

B isn't true because as we solved for earlier, BL is 40

C is true because line LM is in fact 30 ft as we solved for

D is not true because as we said earlier BM is 70

E is true because the same ladder was used on both sides of the street

Step-by-step explanation: