Please help with this

TRIGNOMETRY:

KIM [24]

Answer:

7.698 m

Step-by-step explanation:

From the question,

Faisal's distance to the flagpole = 30 m

angle of elevation of its top = 12.4°

angle of depression of its bottom = 2.1°

Thus, the height of the flagpole is divided into two parts. Let the upper part be represented by x and the lower part by y.

From the triangle of the upper part (elevation), we have;

tan 12.4° = $\frac{x}{30}$

x = 30 × tan 12.4°

= 30 × 0.2199

= 6.597 m

From the triangle of the lower part (depression), we have;

tan 2.1° = $\frac{y}{30}$

y = 30 × tan 2.1°

= 30 × 0.0367

= 1.101 m

The height of the flagpole = x + y

= 6.597 + 1.101

= 7.698 m

The height of the flagpole is 7.698 m.

6 0

3 years ago

Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppin

NeX [460]

Answer:

{chocolate, strawberries, peanuts}

Step-by-step explanation:

Given that three sets are

Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}

Let B = {vanilla, hot fudge, sprinkles, whipped cream}

Let C = {chocolate, hot fudge, peanuts, whipped cream}

Then Universal set U = AUBUC

= {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}

B'=elements in U but not in B

={chocolate, strawberries, peanuts}

4 0

4 years ago

Name the quadrilaterals that have four equal angles.

Alex73 [517]

B. square, rectangle

7 0

3 years ago

Read 2 more answers

In a race that consisted of three parts the cycling part was 12 1/2 miles long the running part of the race was won for the dist

Nata [24]

Complete question is;

In a race that consisted of three parts, the cycling part was 12 1/2 miles long. The running part of the race was 1/4 the distance of the cycling part. The kayaking part of the race was 1/2 the distance of the running part. What was the entire distance, in miles of the race?

Answer:

Total distance of race = 17.1875 miles

Step-by-step explanation:

The 3 parts of the race are; cycling, running and kayaking.

The cycling distance was; 12½ miles

We are told that the running part was ¼ of the cycling distance. Thus;

Running distance = ¼ x 12½ = ¼ x 25/2 = 25/8 miles

Lastly, we are told that the kayaking part was ½ the distance of the running part. Thus;

Kayaking distance = ½ x 25/8 = 25/16

Thus,total distance of race = cycling distance + running distance + kayaking distance = 12½ + 25/8 + 25/16 = 17.1875 miles

4 0

3 years ago

Deepak stacked 14 copies of the

Anna11 [10]

Answer:

182 inches

Step-by-step explanation:

1 book is 13 inches thick.

So when 14 of those books are stacked together (lets take the book cover has non-existent thickness since the question did not mention),

Height of stack of 14 books = 14 x Thickness of 1 book = 14 x 13inches

= 182 inches

3 0

2 years ago