Anyone who can help me answer this I’ll brainliest you :)

Mathematics

1 answer:

goblinko [34]3 years ago

8 0

Answer:

If <1 and <2 are complementary, and <2 and < 3 are complementary, then <1 and < 3 are also complementary.

Step-by-step explanation:

Two angles are complementary when they add up to the same whole. For example, two angles are complementary when they add up to 90 degrees. This is a simple "if A=B, and B=C, then A=C" situation. The angles may have different degrees but all add up to the same one, making them complementary.

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The height of a radio tower is 400 feet, and the ground on one side of the tower slopes upward at an angle of 10degrees. (a) H

Anettt [7]

Answer:

(a) 412 ft

(b) 276 ft

Step-by-step explanation:

Consider the attached diagram.

(a) The internal angle of triangle RBT at B is 90° -10° = 80°. Since we know lengths RB and BT, we can find the length RT using the law of cosines:

RT² = RB² +BT² -2·RB·BT·cos(80°) = 190² +400² -2·190·400·cos(80°)

RT² ≈ 169,705.477

RT ≈ √169,705.477 ≈ 411.95

The guy wire to the hillside should be about 412 feet long.

(b) The Pythagorean theorem can be used to find the shorter wire length.

LM² = LB² +MB²

LM = √(190² +200²) = √76,100

LM ≈ 275.86

The guy wire to the flat side should be about 276 feet long.