All categories

3 years ago

A blimp is flying parallel to a road and is 2460 feet directly above it. The angles of depression of two parked

Mathematics

1 answer:

Nina [5.8K]3 years ago

4 0

Answer:

‭1419.42‬ feet

Step-by-step explanation:

Let y be the height of the blimp above the cars and x₁ be the distance from the blimp to the first car at an angle of depression of 34.99° and x₂ be the distance from the blimp to the second car at an angle of depression of 26.5°.

From trigonometric ratios,

tan34.99° = y/x₁ and tan26.5° = y/x₂

So, x₁ = yt/an34.99° and x₂ = y/tan26.5°

So, the distance between the cars is thus d = x₂ - x₁ = y/tan26.5° - y/tan34.99°= y(1/tan26.5° - 1/tan34.99°) = y(cot26.5° - cot34.99°)

Since y = height of blimp above the road = 2460 feet, substituting it into the equation, we have,

d = 2460(cot26.5° - cot34.99°)

d = 2460(2.0057 - 1.4287)

d = 2460(0.577)

d = ‭1419.42‬ feet

You might be interested in

Solve the system of equations for x and y. y = x + 5 y = 2x + 2

DIA [1.3K]

Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)

3 0

2 years ago

Which statement about the values 0.034 and 3.40 are true

Nana76 [90]

Answer:

See Explanation

Step-by-step explanation:

This question requires options.

Since none is provided, I will give a general solution.

We have: 0.034 and 3.40

Required

The relationship between them

3.40 can be expressed as:

$3.40 \to 0.034 * 100$

This means that 3.40 is 100 of 0.034

Similarly, 0.034 can be expressed as:

$0.034 \to 3.40 * \frac{1}{100}$

This means that 0.034 is 1/100 of 3.40

3 0

2 years ago

-. Which statement is true?

STatiana [176]

Answer:

All rectangles are quadrilaterals

Step-by-step explanation:

8 0

3 years ago

Please help for instant brainliest.

Mnenie [13.5K]

x + y = 7

x - y = 35

and that is your answer

5 0

3 years ago

Read 2 more answers

A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?

saul85 [17]

Answer:

25%

Step-by-step explanation:

8 0

2 years ago