Sovi AI

Question

Étapes de solution

1. Understand the question

   a shelf is supported on a wall by a triangular bracket with the dimensions shown in the diagram.
   what is the measure of the angle formed by the wall and the bottom of the bracket to the nearest tenth of a degree?
   enter the correct answer in the box.
   °

2. Explanation

   Step1: Identify the sides

   We have a right triangle where the adjacent side to the angle (wall side) is \( 13\frac{1}{8} = \frac{105}{8} = 13.125 \) in and the opposite side (horizontal side) is 12 in. We can use the tangent function \( \tan(\theta)=\frac{\text{opposite}}{\text{adjacent}} \).

   Step2: Calculate the tangent of the angle

   \( \tan(\theta)=\frac{12}{13.125} \)
   \( \tan(\theta) \approx 0.9142857 \)

   Step3: Find the angle

   Take the arctangent (inverse tangent) of 0.9142857.
   \( \theta=\arctan(0.9142857) \)
   Using a calculator, \( \theta\approx 42.5^\circ \)

3. Final answer

   \( 42.5 \)

Réponse

Question Analysis

OCR Text

a shelf is supported on a wall by a triangular bracket with the dimensions shown in the diagram.
what is the measure of the angle formed by the wall and the bottom of the bracket to the nearest tenth of a degree?
enter the correct answer in the box.
°

Sujets liés

Questions liées

• use an area model to solve 31 × 26. multiply in the area model.

  Top-left cell: 180 Top-right cell: 6 Bottom-left cell: 600 Bottom-right cell: 20 Final product: 806

• 6. solve each equation. write each solution as a fraction and as a deci…

  | Equation | Solution (Fraction) | Solution (Decimal) | |----------|---------------------|--------------------| | $2x=3$ | $\frac{3}{2}$ | $1.5$ | | $5y=3$ | $\frac{3}{5}$ | $0.6$…

• Ok

  - Fila 2: Circular el par (5, 2). - Fila 3: Circular el par (3, 3) (o la tarjeta con 3 y la otra con 4 dibujos, pero los números son 3 y 3? Wait, la tercera fila: primera tarjeta …

• How do you solve pemdas

  It's basically just a checklist so you don't get mixed up when a math problem has a bunch of stuff going on at once. You just go down the list in order: 1. **P**arentheses: Do any…

• which number line models $-1 + (-14)$? add. $-1 + (-14) = \\square$

  \(-15\)

• 11 et 12

  The initial number of bacteria is 5. ### Turn 2 Answer Ça marche, regardons ça ! On dirait que tu es en plein dans les maths financières. Pour le **numéro 11**, on cherche le taux…

• question 1-9 in △abc, m∠a = 90°. if cosb = 0.8, what is the value of si…

  \( 0.8 \)

• look at the protractor on the right. find the measure of each angle 1. …

  1. $90^\circ$ 2. $100^\circ$ 3. $20^\circ$ 4. $80^\circ$ 5. (Draw two rays meeting at a vertex with a 50° opening; example name: $\angle ABC$) 6. (Draw two rays meeting at a verte…

Sovi AI iOS

Site officiel : mysovi.ai. Les pages de questions sont servies sur question-banks.mysovi.ai. L’app iOS est disponible sur l’App Store Apple.