I will give brainiest 1. An 8-m ladder leans against a wall. How far up the wall does the ladder reach if the foot of the ladder is 3 m from the base of the wall

2. A ship leaves port and travels 12 km due north. It then changes direction and travels due east for 10 km. How far must it travel to go directly back to port?

3. A rectangular field is 40 m long and 30 m wide. Carl walks from one corner of the field to the opposite corner, along the edge of the field. Jade walks across the field diagonally to arrive at the same corner. Who walked the shorter distance, and how much shorter was their walk?

4. Doug wants to check that a lawn he is planting is a rectangle. He measures the width of the lawn to be 10 m, the length to be 24 m, and the diagonal to be 26 m. Is the lawn a rectangle? Explain.

1,Let us suppose that the height of the ladder is h and the horizontal distance of the ladder from the wall is d, then we use these two important trigonometric functions; the sine and the cosine.

h = sin 78 * 8 m and d = cos 78 * 8m where sin 78 = 0.9781 and cos 78 = 0.2079

With the given values, I expect you to do the two multiplications yourself. You will obtain a near to 8 m answer for the height h and a near to 1.7 m answer for the distance d.

2, The ship is 15 km from the port.

3,30m The ship must travel 15.6km 10 km 8. A rectangular field is 40 m long and 30 m wide. Carl walks from one corner of the field to the opposite corner along the edge of the field. Jade walks across the field diagonally to arrive at the same corner. Tip How much shorter is Jade's shortcut? Show your work. Sketch a diagram Carl-40m ade - b?= C² first. 40m. Jade = a't 62=(3 30' + 402 c 900 + 1,600 e? C² =2,5 U0 %3D C=/2500 C=50 10m shorter. jade shortcut is 172

Step-by-step explanation:

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step-by-step explanation: