MATHEMATICS HIGH SCHOOL

A 84-ft tree casts a shadow that is 47 ft long. What is the angle of elevation of the sun?

Answers

Answer 1

Answer:

The angle of elevation of the sun is 60.8°.

What is angle of elevation?

This is the angle between the horizontal line of sight and the object.

To calculate the angle of elevation of the sun, we apply the formula below.

Formula:

tan∅ = Heigth of the tree(H)/Length of the shadow(L)
tan∅ = H/L............. Equation 1

Where

∅ = angle of elevation of the sun

From the question,

Given:

tan∅ = 84/47
tan∅ = 1.7872
∅ = tan⁻¹(1.7872)
∅ = 60.8°

Hence, The angle of elevation of the sun is 60.8°.

Learn more about angle of elevation here: brainly.com/question/88158

Answer 2

Answer: Tan(theta)=84/47
Theta=60.8°

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Mario paid $44.25 in taxi fare from the hotel to the airport. the cab charged $2.25 for the first mile plus $3.50 for each additional mile. how many miles was it from the hotel to the airport

Answers

The distance from the hotel to the airport was 12 miles.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

From the information given, the taxi fair is equal to the initial cost of first mile added to the result of multiplying the cost per mile for the number of miles, which is:

t=2.25+3.50x, where:

t is the b

x is the number of miles

Now, you can replace t with 44.25 and solve for x to find the miles:

44.25=2.25+3.50x

42 = 3.5x

x = 42/3.5

x = 12

Therefore, the distance from the hotel to the airport was 12 miles.

Answers

Solution of the system is where both lines meet
In the graph, (3, -1)

15: Mollie has d apples. Frankie has 7 more apples.Write an expression for the number of apples that
Frankie has.