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stira [4]
3 years ago
15

Angle of the Sun A 96-ft tree casts a shadow that is 120 ft long. What is the angle of elevation of the sun

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

The angle of elevation of the sun is 39⁰

Step-by-step explanation:

Given;

height of the tree, h = 96 ft

length of the shadow, L = 120 ft

                                                   |

                                                   | 96ft

                                                   |

                                                   |

       θ------------------------------------

                    120ft

Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.

Apply trig-ratio to determine the angle of elevation of the sun;

tanθ = opposite side / adjacent side

tanθ = 96 / 120

tanθ = 0.8

θ = tan⁻¹(0.8)

θ = 38.7⁰

θ = 39⁰

Therefore, the angle of elevation of the sun is 39⁰

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pentagon [3]

Answer:

The ride will take 2 h

Step-by-step explanation:

From the question,

Deon plans to ride a 20-mi bicycle trail, that is the total distance he plans to cover is 20-mi

Distance, d = 20 mi

Also, his average speed is 10 mi/h

rate of speed, r = 10 mi/h

To determine how many hours the ride will take,

From the formula,

d = rt

where

d is the distance covered

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and t is the time.

We can solve for t, such

d = rt becomes

t = d/r

Now, from the question

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r = 10 mi/h

∴ t = (20 mi) / (10 mi/h)

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7 0
3 years ago
Sarah measured her square garden to have an area of 122 ft​ 2​ . How long is one side of Sarah’s garden?
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Answer:

30.5 ft squared

Step-by-step explanation:

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Dakota and Christine went shopping. Dakota bought two scarves and one hat for $13 Christine bought one scarves and two hats for
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One scarf=s
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