1 year ago

A boat is approaching a cliff known to be 40m tall. The angle of elevation is 30°. How far away is the boat from the cliff?

Mathematics

1 answer:

allochka39001 [22]1 year ago

5 0

Answer:

x = 40 * $\sqrt{3}$ meters

Step-by-step explanation:

You have a 30-60-90 right triangle in this situation.

the height of this triangle is 40 meters

the opposite angle is 30 degrees.

use the tangent.

let x = distance between boat and cliff

tan 30 = 40/x

1/root (3) = 40/x

x = 40 * $\sqrt{3}$ meters

You might be interested in

Each year the soccer team, Peterson United, plays 25 games at their stadium. The owner of Peterson United claimed that last year

Mars2501 [29]

Total Attendence = Mean Attendence × No. of Incidents
= 24,500 × 25
= 612,500.

7 0

1 year ago

Read 2 more answers

What is the factored form of a2 – 121?

Flura [38]

Answer:

The factored form $a^2-121$ is $(a+11)(a-11)$ .

Step-by-step explanation:

Given : $a^2-121$

We have to write the given expression in factored form.

Factor form of an expression is writing the expression in lower power form such that the product of factors given the original expression

Consider the given expression $a^2-121$ .

We know the algebraic identity $x^2-y^2=(x+y)(x-y)$

Here $a^2-121=a^2-(11)^2$ .

Comparing with identity stated above , we have x= a , b = 11 , thus, we get

$a^2-(11)^2=(a+11)(a-11)$ .

Thus, the factored form $a^2-121$ is $(a+11)(a-11)$ .

7 0

2 years ago

(10.01 MC) Marko is playing the video game Fort Attack. The purpose of the game is to shoot invading bandits that are trying to

rusak2 [61]

Angle of fire in degrees = 90 + 30 =120 degrees

Angle of fire radians =180 degrees = π

120* π/180=120π /180 OR 4π/6 OR 2π/3

8 0

1 year ago

Read 2 more answers

Kelly and Greta are asked to write an equation for the scenario below. “One person was able to plant 4 trees in the same amount

Oduvanchick [21]

<u>Answer:</u> Greta is correct.

<u>Explanation:</u>

Greta is correct sine you can substitute different number of people for each of the values of and y and check that each person will still plant 4 trees.

For example:

4x = 4(1) = 4 trees; and

4 x 5 = 20

but you should follow a certain pattern to increase the value of x, such that every foe every value of x, one person is able to plant 4 trees.

8 0

1 year ago

Read 2 more answers

. You bought a dual refrigerator/freezer for $859 on the 12 months is the same as cash plan. The terms of the plan on the contra

Alex787 [66]

You would have paid in full with on interest so $859

8 0

1 year ago

Read 2 more answers