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Leto [7]
2 years ago
8

The angle of elevation to a nearby tree from a point on the ground is measured to be 54^{\circ} ∘ . How tall is the tree if the

point on the ground is 89 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Mathematics
1 answer:
Rzqust [24]2 years ago
4 0

The height of the tree to the nearest hundredth is 122.49 feet

<h3>Application of SOH CAH TOA</h3>

These are used to determine the sides and angle of a right triangle

Given

Angle of elevation= 54 degrees

Base distance = 89 feet

Required

Height of tree

Using the SOH CAH TOA

tan 54 = H/89

H = 89tan54

H = 122.49

Hence the height of the tree to the nearest hundredth is 122.49 feet

Learn more on elevation angle here:brainly.com/question/2004882

#SPJ1

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Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2
puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

f(x) = -5|x + 1| + 3

Here f(x) = -12

Substitute f(x) and solve for x

- 12 = -5|x + 1| + 3

By subtracting 3 on both sides

- 12 - 3 = -5|x + 1| + 3 - 3

- 15 = -5|x + 1|

By dividing -5 on both sides

3 = |x + 1|

We get absolute values for the function.

x + 1 = 3 , x + 1 = -3

By subtracting 1 on both sides

x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 ,  x = - 4

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

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2 years ago
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