Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house? Round to the nearest unit.

A) 44 degrees

B) 36 degrees

C) 54 degrees

D) 46 degrees

Question

Mathematics

Ella Pope

19 May, 08:45

Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house? Round to the nearest unit.

A) 44 degrees

B) 36 degrees

C) 54 degrees

D) 46 degrees

+5

Answers (1)

Know the Answer?

Pamela Orr · Answer 1

The answer to your question is the letter D) 46°

Step-by-step explanation:

Data

length = 25 ft

Opposite side = 18 ft

Angle = Ф

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.

Sin Ф = Opposite side / hypotenuse

-Substitution

sin Ф = 18/25

-Simplification

sin Ф = 0.72

-Result

sin⁻¹ Ф = 0.72 = 46°

Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house? Round to the nearest unit.A) 44 degreesB) 36 degreesC) 54 degreesD) 46 degrees

Brigid has a 25-foot ladder she will use to paint the side of her house. What angle does the ladder need to make with house so she can reach 18 feet up the side of her house? Round to the nearest unit.

A) 44 degrees

B) 36 degrees

C) 54 degrees

D) 46 degrees