Question

A firefighter's ladder leans 50 feet up against a building and is positioned 50 feet away from the building along the ground. The base of the ladder makes a 45° angle with the ground. Use a calculator to find the decimal approximation for cos T. Round to three decimal places.

A) 0.707
B) 0.500
C) 1.000
D) 0.866

Answer 1

The decimal approximation for cos T is 1.

Step-by-step explanation:

To find the decimal approximation for cos T, we can use the given information about the firefighter's ladder. The ladder forms a right triangle with the ground and the building. The base of the ladder, which is 50 feet, is the adjacent side of the triangle, while the height of the ladder, which is also 50 feet, is the opposite side. Therefore, we can use the formula cos T = adjacent / hypotenuse to find the value of cos T.

cos T = 50 / 50 = 1

The decimal approximation for cos T is 1.