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3 years ago

A ladder that is 32 ft long leans against a building. The angle of Elevation of the Ladder is 70 degrees

Mathematics

1 answer:

netineya [11]3 years ago

3 0

Answer:

B. 30 ft

Step-by-step explanation:

The ladder is 32 ft long

The angle of elevation of the ladder is 70°

The height (h) of the top of the ladder to the ground is what we are to find.

$\frac{h}{32}$ = sin 70°

h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)

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Let (8,−3) be a point on the terminal side of θ. Find the exact values of cosθ, cscθ, and tanθ.

denis23 [38]

Answer:

$\text{Cos}\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

$\text{Csc}\theta=-\frac{\sqrt{73}}{3}$

$\text{tan}\theta =\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Step-by-step explanation:

From the picture attached,

(8, -3) is a point on the terminal side of angle θ.

Therefore, distance 'R' from the origin will be,

R = $\sqrt{x^{2}+y^{2}}$

R = $\sqrt{8^{2}+(-3)^2}$

= $\sqrt{64+9}$

= $\sqrt{73}$

Therefore, Cosθ = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{x}{R}=\frac{8}{\sqrt{73}}$

Sinθ = $\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{y}{R}=\frac{-3}{\sqrt{73} }$

tanθ = $\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{y}{x}=\frac{-3}{8}$

Cscθ = $\frac{1}{\text{Sin}\theta}=\frac{R}{y}=-\frac{\sqrt{73}}{3}$

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3 years ago

Which pair of expressions is equivalent using the Associative Property of Multiplication?

RUDIKE [14]

Answer:

Step-by-step explanation:

In the associative property of multiplication, the product of the multiplication of 3 or more numbers is the same irrespective of how they are grouped. This means that irrespective of the bracket or which number comes first, the product will always be the same.

From the given scenarios, the pair of expressions that are equivalent using the Associative Property of Multiplication are

B 6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6

C 6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2

D6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

The results are the same irrespective of the arrangement of the numbers.

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3 years ago

Mr. Cho made a two-way table to describe members of his family. Which could describe the row and column headings for Mr. Cho’s t

NeTakaya

Answer:

The correct answer is A. Whether the relative was born in Korea; Whether the relatives speak korean

Step-by-step explanation:

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3 years ago

Read 2 more answers

The slope of a line is 5/9 and the slope of another line is -975. The two lines<br> are

Bond [772]

Answer:

the third option - they are perpendicular to each other.

Step-by-step explanation:

for a perpendicular slope we need to exchange the x and y values (remember, a slope is the ratio of y/x) and flip the sign.

and that is exactly what happened here.

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2 years ago

A contractor claims that she finishes a job on time 90%

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Answer:

yesssiriytrewqsdfgh

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

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