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3 years ago

An 18-ft tall tree casts a shadow of 25 feet. Find the angle of elevation of the sun.

Mathematics

1 answer:

777dan777 [17]3 years ago

3 0

Answer:

46.05degrees

Step-by-step explanation:

Given the following

Height of tree = 18ft (Opposite)

length of shadow = 25ft (hypotenuse)

Required

Angle of elevation

Sin theta = opp/hyp

Sin x = 18/25

sin x = 0.72

x = arcsin(0.72)

x = 46.05

Hence the angle of elevation of the sun is 46.05degrees

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3 years ago

Will a 9/32 inch diameter pin fit into a reamed hole with a diameter of 0.278 inch? (Do not round off your answer and express it

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Answer:

9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch

Step-by-step explanation:

Diameter of reamed hole = 0.278 inch

Radius of reamed hole = $\frac{0.278}{2} =0.139$

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Surface area of pin = $\pi r^2 = 3.14 \times ( \frac{9}{64})^2=0.0620$

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4 years ago

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3 years ago

Read 2 more answers

10. Jan purchased 140 shares of stock in the ABC Company at a price of $18.75 per share. During the

andre [41]

$\bold{\huge{\orange{\underline{ Solution }}}}$

$\bold{\underline{ Given :- }}$

Jan purchased 140 shares of stock in ABC company at a price of $18.75 per share
During the next 3 days, the value of share declined by $1.00 , $1.75 and $1.50

$\bold{\underline{ To \: Find :- }}$

We have to find the value of a share of ABC stock at the end of 3 days

$\bold{\underline{ Let's \: Begin :- }}$

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore, 

Cost of 140 shares purchased by Jan in the ABC company

$\sf{ = 140 × 18.75 }$

$\sf{ = 2625\: dollars }$

Now, 

For next 3 days, the value of share declined

$\sf{ = (1 + 1.75 + 1.50)dollars }$

$\sf{ = 4.25 \: dollars }$

Therefore, 

The value of shares after 3 days will be

$\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}$

$\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}$

$\bold{\red{ = 18.75\: dollars}}$

Hence, The value of share after 3 days will be $18.75 .

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3 years ago