#1 given: abc is a right triangle with right angle c. ab=18 centimeters and m∠a=22∘ . what is bc ? #2 a wooden board is leaning against a house. the base of the board is 10 feet from the base of the house, and the base of the board forms a 35° angle with the ground. what is the length of the wooden board?

 BC=  0.59 cm ( approx) and length of wooden board = 12.21 ( approx)

Step-by-step explanation:

In first question,

In triangle ABC,

Since C is the right angle.

Therefore Sin A =

⇒ Sin 22°=

⇒BC= 18× Sin22°=0.5877852552≈0.59 centimeter.

Now in second question,

Let L represent the length of board and x represents the distance of board from the foot of house.

Therefore Cos 35° =10/L ⇒ L =10/ Cos 35°= 12.2077456≈12.21 cm

70

step-by-step explanation: