Recognise firstly that you're making a right-angled triangle, with the hypotenuse being the ladder; and the wall and ground making up the other two sides. One vertical side is 15 ft long, the hypotenuse is 20 ft long. Use Pythagoras' Theorem to solve for the length of the remaining side: <span><span>a2</span>+<span>b2</span>=<span>c2</span></span><span><span>152</span>+<span>b2</span>=<span>202</span></span><span><span>b2</span>=400−225</span><span><span>b2</span>=175</span><span>b=<span>175<span>−−−</span>√</span>=13.22ft</span> To get the angle the ladder makes to the ground, use the trigonometric functions - sine in this case: <span>sinθ=<span><span>opposite</span><span>hypotenuse</span></span></span><span>sinθ=<span>1520</span></span><span>θ=si<span>n<span>−1</span></span>(0.75)</span><span><span>θ=0.848radians(48.5degrees)</span></span>
Answer:
1, 4 nope 2, 3 yep
Step-by-step explanation:
To calculate this, we need to divide 7 minutes by 4 miles to see how long it takes her to hike 1 mile.
7/4 = 1.75 minutes/ mile
= 1 minute and 75 seconds = 2 minutes and 15 seconds.
Glad I could help and have a fantastic day!
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